Y by aliz, Yrock, Tem8, llddmmtt1, Jack_w, PikaPika999, RainbowJessa
Contests & Programs
AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3
M
G
BBookmark
VNew Topic
kLocked
Contests & Programs
AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3
M
G
BBookmark
VNew Topic
kLocked
No tags match your search
MAMC
AIME
AMC 10
geometry
USA(J)MO
AMC 12
USAMO
AIME I
AMC 10 A
USAJMO
AMC 8
poll
MATHCOUNTS
AMC 10 B
number theory
probability
summer program
trigonometry
algebra
AIME II
AMC 12 A
function
AMC 12 B
email
calculus
ARML
inequalities
analytic geometry
3D geometry
ratio
polynomial
AwesomeMath
search
AoPS Books
college
HMMT
USAMTS
Alcumus
quadratics
PROMYS
geometric transformation
Mathcamp
LaTeX
rectangle
logarithms
modular arithmetic
complex numbers
Ross Mathematics Program
contests
AMC10
Channing
GlazingChanningYang
No tags match your search
MG
Topic
First Poster
Last Poster
k a July Highlights and 2025 AoPS Online Class Information
jwelsh 0
Tuesday at 2:14 PM
We are halfway through summer, so be sure to carve out some time to keep your skills sharp and explore challenging topics at AoPS Online and our AoPS Academies (including the Virtual Campus)!
[list][*]Over 60 summer classes are starting at the Virtual Campus on July 7th - check out the math and language arts options for middle through high school levels.
[*]At AoPS Online, we have accelerated sections where you can complete a course in half the time by meeting twice/week instead of once/week, starting on July 8th:
[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC Problem Series[/list]
[*]Plus, AoPS Online has a special seminar July 14 - 17 that is outside the standard fare: Paradoxes and Infinity
[*]We are expanding our in-person AoPS Academy locations - are you looking for a strong community of problem solvers, exemplary instruction, and math and language arts options? Look to see if we have a location near you and enroll in summer camps or academic year classes today! New locations include campuses in California, Georgia, New York, Illinois, and Oregon and more coming soon![/list]
MOP (Math Olympiad Summer Program) just ended and the IMO (International Mathematical Olympiad) is right around the corner! This year’s IMO will be held in Australia, July 10th - 20th. Congratulations to all the MOP students for reaching this incredible level and best of luck to all selected to represent their countries at this year’s IMO! Did you know that, in the last 10 years, 59 USA International Math Olympiad team members have medaled and have taken over 360 AoPS Online courses. Take advantage of our Worldwide Online Olympiad Training (WOOT) courses
and train with the best! Please note that early bird pricing ends August 19th!
Are you tired of the heat and thinking about Fall? You can plan your Fall schedule now with classes at either AoPS Online, AoPS Academy Virtual Campus, or one of our AoPS Academies around the US.
Our full course list for upcoming classes is below:
All classes start 7:30pm ET/4:30pm PT unless otherwise noted.
Introductory: Grades 5-10
Prealgebra 1 Self-Paced
Prealgebra 1
Wednesday, Jul 16 - Oct 29
Sunday, Aug 17 - Dec 14
Tuesday, Aug 26 - Dec 16
Friday, Sep 5 - Jan 16
Monday, Sep 8 - Jan 12
Tuesday, Sep 16 - Jan 20 (4:30 - 5:45 pm ET/1:30 - 2:45 pm PT)
Sunday, Sep 21 - Jan 25
Thursday, Sep 25 - Jan 29
Wednesday, Oct 22 - Feb 25
Tuesday, Nov 4 - Mar 10
Friday, Dec 12 - Apr 10
Prealgebra 2 Self-Paced
Prealgebra 2
Friday, Jul 25 - Nov 21
Sunday, Aug 17 - Dec 14
Tuesday, Sep 9 - Jan 13
Thursday, Sep 25 - Jan 29
Sunday, Oct 19 - Feb 22
Monday, Oct 27 - Mar 2
Wednesday, Nov 12 - Mar 18
Introduction to Algebra A Self-Paced
Introduction to Algebra A
Tuesday, Jul 15 - Oct 28
Sunday, Aug 17 - Dec 14
Wednesday, Aug 27 - Dec 17
Friday, Sep 5 - Jan 16
Thursday, Sep 11 - Jan 15
Sunday, Sep 28 - Feb 1
Monday, Oct 6 - Feb 9
Tuesday, Oct 21 - Feb 24
Sunday, Nov 9 - Mar 15
Friday, Dec 5 - Apr 3
Introduction to Counting & Probability Self-Paced
Introduction to Counting & Probability
Wednesday, Jul 2 - Sep 17
Sunday, Jul 27 - Oct 19
Monday, Aug 11 - Nov 3
Wednesday, Sep 3 - Nov 19
Sunday, Sep 21 - Dec 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Friday, Oct 3 - Jan 16
Sunday, Oct 19 - Jan 25
Tuesday, Nov 4 - Feb 10
Sunday, Dec 7 - Mar 8
Introduction to Number Theory
Tuesday, Jul 15 - Sep 30
Wednesday, Aug 13 - Oct 29
Friday, Sep 12 - Dec 12
Sunday, Oct 26 - Feb 1
Monday, Dec 1 - Mar 2
Introduction to Algebra B Self-Paced
Introduction to Algebra B
Friday, Jul 18 - Nov 14
Thursday, Aug 7 - Nov 20
Monday, Aug 18 - Dec 15
Sunday, Sep 7 - Jan 11
Thursday, Sep 11 - Jan 15
Wednesday, Sep 24 - Jan 28
Sunday, Oct 26 - Mar 1
Tuesday, Nov 4 - Mar 10
Monday, Dec 1 - Mar 30
Introduction to Geometry
Monday, Jul 14 - Jan 19
Wednesday, Aug 13 - Feb 11
Tuesday, Aug 26 - Feb 24
Sunday, Sep 7 - Mar 8
Thursday, Sep 11 - Mar 12
Wednesday, Sep 24 - Mar 25
Sunday, Oct 26 - Apr 26
Monday, Nov 3 - May 4
Friday, Dec 5 - May 29
Paradoxes and Infinity
Mon, Tue, Wed, & Thurs, Jul 14 - Jul 16 (meets every day of the week!)
Sat & Sun, Sep 13 - Sep 14 (1:00 - 4:00 PM PT/4:00 - 7:00 PM ET)
Intermediate: Grades 8-12
Intermediate Algebra
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22
Friday, Aug 8 - Feb 20
Tuesday, Aug 26 - Feb 24
Sunday, Sep 28 - Mar 29
Wednesday, Oct 8 - Mar 8
Sunday, Nov 16 - May 17
Thursday, Dec 11 - Jun 4
Intermediate Counting & Probability
Sunday, Sep 28 - Feb 15
Tuesday, Nov 4 - Mar 24
Intermediate Number Theory
Wednesday, Sep 24 - Dec 17
Precalculus
Wednesday, Aug 6 - Jan 21
Tuesday, Sep 9 - Feb 24
Sunday, Sep 21 - Mar 8
Monday, Oct 20 - Apr 6
Sunday, Dec 14 - May 31
Advanced: Grades 9-12
Calculus
Sunday, Sep 7 - Mar 15
Wednesday, Sep 24 - Apr 1
Friday, Nov 14 - May 22
Contest Preparation: Grades 6-12
MATHCOUNTS/AMC 8 Basics
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 17 - Nov 9
Wednesday, Sep 3 - Nov 19
Tuesday, Sep 16 - Dec 9
Sunday, Sep 21 - Dec 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Oct 6 - Jan 12
Thursday, Oct 16 - Jan 22
Tues, Thurs & Sun, Dec 9 - Jan 18 (meets three times a week!)
MATHCOUNTS/AMC 8 Advanced
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 17 - Nov 9
Tuesday, Aug 26 - Nov 11
Thursday, Sep 4 - Nov 20
Friday, Sep 12 - Dec 12
Monday, Sep 15 - Dec 8
Sunday, Oct 5 - Jan 11
Tues, Thurs & Sun, Dec 2 - Jan 11 (meets three times a week!)
Mon, Wed & Fri, Dec 8 - Jan 16 (meets three times a week!)
AMC 10 Problem Series
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 10 - Nov 2
Thursday, Aug 14 - Oct 30
Tuesday, Aug 19 - Nov 4
Mon & Wed, Sep 15 - Oct 22 (meets twice a week!)
Mon, Wed & Fri, Oct 6 - Nov 3 (meets three times a week!)
Tue, Thurs & Sun, Oct 7 - Nov 2 (meets three times a week!)
AMC 10 Final Fives
Friday, Aug 15 - Sep 12
Sunday, Sep 7 - Sep 28
Tuesday, Sep 9 - Sep 30
Monday, Sep 22 - Oct 13
Sunday, Sep 28 - Oct 19 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, Oct 8 - Oct 29
Thursday, Oct 9 - Oct 30
AMC 12 Problem Series
Wednesday, Aug 6 - Oct 22
Sunday, Aug 10 - Nov 2
Monday, Aug 18 - Nov 10
Mon & Wed, Sep 15 - Oct 22 (meets twice a week!)
Tues, Thurs & Sun, Oct 7 - Nov 2 (meets three times a week!)
AMC 12 Final Fives
Thursday, Sep 4 - Sep 25
Sunday, Sep 28 - Oct 19
Tuesday, Oct 7 - Oct 28
AIME Problem Series A
Thursday, Oct 23 - Jan 29
AIME Problem Series B
Tuesday, Sep 2 - Nov 18
F=ma Problem Series
Tuesday, Sep 16 - Dec 9
Friday, Oct 17 - Jan 30
WOOT Programs
Visit the pages linked for full schedule details for each of these programs!
MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT
Programming
Introduction to Programming with Python
Thursday, Aug 14 - Oct 30
Sunday, Sep 7 - Nov 23
Tuesday, Dec 2 - Mar 3
Intermediate Programming with Python
Friday, Oct 3 - Jan 16
USACO Bronze Problem Series
Wednesday, Sep 3 - Dec 3
Thursday, Oct 30 - Feb 5
Tuesday, Dec 2 - Mar 3
Physics
Introduction to Physics
Tuesday, Sep 2 - Nov 18
Sunday, Oct 5 - Jan 11
Wednesday, Dec 10 - Mar 11
Physics 1: Mechanics
Sunday, Sep 21 - Mar 22
Sunday, Oct 26 - Apr 26
[list][*]Over 60 summer classes are starting at the Virtual Campus on July 7th - check out the math and language arts options for middle through high school levels.
[*]At AoPS Online, we have accelerated sections where you can complete a course in half the time by meeting twice/week instead of once/week, starting on July 8th:
[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC Problem Series[/list]
[*]Plus, AoPS Online has a special seminar July 14 - 17 that is outside the standard fare: Paradoxes and Infinity
[*]We are expanding our in-person AoPS Academy locations - are you looking for a strong community of problem solvers, exemplary instruction, and math and language arts options? Look to see if we have a location near you and enroll in summer camps or academic year classes today! New locations include campuses in California, Georgia, New York, Illinois, and Oregon and more coming soon![/list]
MOP (Math Olympiad Summer Program) just ended and the IMO (International Mathematical Olympiad) is right around the corner! This year’s IMO will be held in Australia, July 10th - 20th. Congratulations to all the MOP students for reaching this incredible level and best of luck to all selected to represent their countries at this year’s IMO! Did you know that, in the last 10 years, 59 USA International Math Olympiad team members have medaled and have taken over 360 AoPS Online courses. Take advantage of our Worldwide Online Olympiad Training (WOOT) courses
and train with the best! Please note that early bird pricing ends August 19th!
Are you tired of the heat and thinking about Fall? You can plan your Fall schedule now with classes at either AoPS Online, AoPS Academy Virtual Campus, or one of our AoPS Academies around the US.
Our full course list for upcoming classes is below:
All classes start 7:30pm ET/4:30pm PT unless otherwise noted.
Introductory: Grades 5-10
Prealgebra 1 Self-Paced
Prealgebra 1
Wednesday, Jul 16 - Oct 29
Sunday, Aug 17 - Dec 14
Tuesday, Aug 26 - Dec 16
Friday, Sep 5 - Jan 16
Monday, Sep 8 - Jan 12
Tuesday, Sep 16 - Jan 20 (4:30 - 5:45 pm ET/1:30 - 2:45 pm PT)
Sunday, Sep 21 - Jan 25
Thursday, Sep 25 - Jan 29
Wednesday, Oct 22 - Feb 25
Tuesday, Nov 4 - Mar 10
Friday, Dec 12 - Apr 10
Prealgebra 2 Self-Paced
Prealgebra 2
Friday, Jul 25 - Nov 21
Sunday, Aug 17 - Dec 14
Tuesday, Sep 9 - Jan 13
Thursday, Sep 25 - Jan 29
Sunday, Oct 19 - Feb 22
Monday, Oct 27 - Mar 2
Wednesday, Nov 12 - Mar 18
Introduction to Algebra A Self-Paced
Introduction to Algebra A
Tuesday, Jul 15 - Oct 28
Sunday, Aug 17 - Dec 14
Wednesday, Aug 27 - Dec 17
Friday, Sep 5 - Jan 16
Thursday, Sep 11 - Jan 15
Sunday, Sep 28 - Feb 1
Monday, Oct 6 - Feb 9
Tuesday, Oct 21 - Feb 24
Sunday, Nov 9 - Mar 15
Friday, Dec 5 - Apr 3
Introduction to Counting & Probability Self-Paced
Introduction to Counting & Probability
Wednesday, Jul 2 - Sep 17
Sunday, Jul 27 - Oct 19
Monday, Aug 11 - Nov 3
Wednesday, Sep 3 - Nov 19
Sunday, Sep 21 - Dec 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Friday, Oct 3 - Jan 16
Sunday, Oct 19 - Jan 25
Tuesday, Nov 4 - Feb 10
Sunday, Dec 7 - Mar 8
Introduction to Number Theory
Tuesday, Jul 15 - Sep 30
Wednesday, Aug 13 - Oct 29
Friday, Sep 12 - Dec 12
Sunday, Oct 26 - Feb 1
Monday, Dec 1 - Mar 2
Introduction to Algebra B Self-Paced
Introduction to Algebra B
Friday, Jul 18 - Nov 14
Thursday, Aug 7 - Nov 20
Monday, Aug 18 - Dec 15
Sunday, Sep 7 - Jan 11
Thursday, Sep 11 - Jan 15
Wednesday, Sep 24 - Jan 28
Sunday, Oct 26 - Mar 1
Tuesday, Nov 4 - Mar 10
Monday, Dec 1 - Mar 30
Introduction to Geometry
Monday, Jul 14 - Jan 19
Wednesday, Aug 13 - Feb 11
Tuesday, Aug 26 - Feb 24
Sunday, Sep 7 - Mar 8
Thursday, Sep 11 - Mar 12
Wednesday, Sep 24 - Mar 25
Sunday, Oct 26 - Apr 26
Monday, Nov 3 - May 4
Friday, Dec 5 - May 29
Paradoxes and Infinity
Mon, Tue, Wed, & Thurs, Jul 14 - Jul 16 (meets every day of the week!)
Sat & Sun, Sep 13 - Sep 14 (1:00 - 4:00 PM PT/4:00 - 7:00 PM ET)
Intermediate: Grades 8-12
Intermediate Algebra
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22
Friday, Aug 8 - Feb 20
Tuesday, Aug 26 - Feb 24
Sunday, Sep 28 - Mar 29
Wednesday, Oct 8 - Mar 8
Sunday, Nov 16 - May 17
Thursday, Dec 11 - Jun 4
Intermediate Counting & Probability
Sunday, Sep 28 - Feb 15
Tuesday, Nov 4 - Mar 24
Intermediate Number Theory
Wednesday, Sep 24 - Dec 17
Precalculus
Wednesday, Aug 6 - Jan 21
Tuesday, Sep 9 - Feb 24
Sunday, Sep 21 - Mar 8
Monday, Oct 20 - Apr 6
Sunday, Dec 14 - May 31
Advanced: Grades 9-12
Calculus
Sunday, Sep 7 - Mar 15
Wednesday, Sep 24 - Apr 1
Friday, Nov 14 - May 22
Contest Preparation: Grades 6-12
MATHCOUNTS/AMC 8 Basics
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 17 - Nov 9
Wednesday, Sep 3 - Nov 19
Tuesday, Sep 16 - Dec 9
Sunday, Sep 21 - Dec 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Oct 6 - Jan 12
Thursday, Oct 16 - Jan 22
Tues, Thurs & Sun, Dec 9 - Jan 18 (meets three times a week!)
MATHCOUNTS/AMC 8 Advanced
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 17 - Nov 9
Tuesday, Aug 26 - Nov 11
Thursday, Sep 4 - Nov 20
Friday, Sep 12 - Dec 12
Monday, Sep 15 - Dec 8
Sunday, Oct 5 - Jan 11
Tues, Thurs & Sun, Dec 2 - Jan 11 (meets three times a week!)
Mon, Wed & Fri, Dec 8 - Jan 16 (meets three times a week!)
AMC 10 Problem Series
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
Sunday, Aug 10 - Nov 2
Thursday, Aug 14 - Oct 30
Tuesday, Aug 19 - Nov 4
Mon & Wed, Sep 15 - Oct 22 (meets twice a week!)
Mon, Wed & Fri, Oct 6 - Nov 3 (meets three times a week!)
Tue, Thurs & Sun, Oct 7 - Nov 2 (meets three times a week!)
AMC 10 Final Fives
Friday, Aug 15 - Sep 12
Sunday, Sep 7 - Sep 28
Tuesday, Sep 9 - Sep 30
Monday, Sep 22 - Oct 13
Sunday, Sep 28 - Oct 19 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, Oct 8 - Oct 29
Thursday, Oct 9 - Oct 30
AMC 12 Problem Series
Wednesday, Aug 6 - Oct 22
Sunday, Aug 10 - Nov 2
Monday, Aug 18 - Nov 10
Mon & Wed, Sep 15 - Oct 22 (meets twice a week!)
Tues, Thurs & Sun, Oct 7 - Nov 2 (meets three times a week!)
AMC 12 Final Fives
Thursday, Sep 4 - Sep 25
Sunday, Sep 28 - Oct 19
Tuesday, Oct 7 - Oct 28
AIME Problem Series A
Thursday, Oct 23 - Jan 29
AIME Problem Series B
Tuesday, Sep 2 - Nov 18
F=ma Problem Series
Tuesday, Sep 16 - Dec 9
Friday, Oct 17 - Jan 30
WOOT Programs
Visit the pages linked for full schedule details for each of these programs!
MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT
Programming
Introduction to Programming with Python
Thursday, Aug 14 - Oct 30
Sunday, Sep 7 - Nov 23
Tuesday, Dec 2 - Mar 3
Intermediate Programming with Python
Friday, Oct 3 - Jan 16
USACO Bronze Problem Series
Wednesday, Sep 3 - Dec 3
Thursday, Oct 30 - Feb 5
Tuesday, Dec 2 - Mar 3
Physics
Introduction to Physics
Tuesday, Sep 2 - Nov 18
Sunday, Oct 5 - Jan 11
Wednesday, Dec 10 - Mar 11
Physics 1: Mechanics
Sunday, Sep 21 - Mar 22
Sunday, Oct 26 - Apr 26
0 replies

Interesting problem
Tricky123 6
N
3 hours ago
by gator333
Q) which is bigger:-
1.
or 
2.
or 
3.
or 
4.
or 
How to make a easy progress. If there is any new process please help me.
1.


2.


3.


4.


How to make a easy progress. If there is any new process please help me.
6 replies
nth root of a, b in O(sqrt(n))
tenniskidperson3 63
N
Yesterday at 9:29 PM
by ihategeo_1969
Source: 2014 USAMO problem 6
Prove that there is a constant
with the following property: If
are positive integers such that
for all
, then




![\[\min\{a, b\}>c^n\cdot n^{\frac{n}{2}}.\]](http://latex.artofproblemsolving.com/0/2/b/02b7074a6db67693e1ca47702b4fe57d70147d3a.png)
63 replies
1 viewing
Sad Combinatorics II
tastymath75025 26
N
Yesterday at 9:13 PM
by ray66
Source: 2018 USAMO 6, by Richard Stong
Let
be the number of permutations
of the numbers
such that the
ratios
for
are all distinct. Prove that
is odd for all
.
Proposed by Richard Stong








Proposed by Richard Stong
26 replies
Sad Combinatorics
62861 109
N
Yesterday at 8:56 PM
by ray66
Source: USAMO 2018 P4 and JMO 2018 P5, by Ankan Bhattacharya
Let
be a prime, and let
be integers. Show that there exists an integer
such that the numbers
produce at least
distinct remainders upon division by
.
Proposed by Ankan Bhattacharya



![\[a_1 + k, a_2 + 2k, \dots, a_p + pk\]](http://latex.artofproblemsolving.com/7/6/2/7624ce20fc9bfb798126ffacdb34110159ef0094.png)


Proposed by Ankan Bhattacharya
109 replies

Goals for 2025-2026
Airbus320-214 287
N
Yesterday at 8:21 PM
by ouia1234
Please write down your goal/goals for competitions here for 2025-2026.
287 replies
real analysis intermediate concepts
am_11235... 4
N
Yesterday at 7:32 PM
by Moubinool
Source: AMM, proposed by Cezar Lupu and Tudorel Lupu
Let
be a positive-valued, concave function on
. Prove that

![$[0,1]$](http://latex.artofproblemsolving.com/e/8/6/e861e10e1c19918756b9c8b7717684593c63aeb8.png)

4 replies
real analysis problem
TSyyh666 4
N
Yesterday at 4:21 PM
by TSyyh666
Source: BNU entrance exam
Let
be a Lebesgue measurable set, and let
and
for each
Assume there exists a constant
such that
for all
and
, and that
and
Prove that











4 replies
Nr.roots of an equation with abs.values
flip2004 1
N
Yesterday at 2:01 PM
by Mathzeus1024
Source: ALEX collection
If
are real numbers, how many roots has the equation
?


1 reply
real analysis difficult concepts
am_11235... 0
Yesterday at 10:14 AM
Source: AMM, proposed by Cesar Adolfo Hernandez Melo
Let
be a convex, continuously differentiable function from
to
such that
for all
. Prove that the improper integral
is convergent if and only if the series
is convergent for all
.








0 replies
real analysis difficult concepts
am_11235... 2
N
Yesterday at 9:44 AM
by Ritwin
Source: AMM, proposed by Oleksiy Klurman
Let
be a continuous function from
into
. Prove that

![$[0,1]$](http://latex.artofproblemsolving.com/e/8/6/e861e10e1c19918756b9c8b7717684593c63aeb8.png)

![$$\int_0^1f(x)\,dx-\exp\left[\int_0^1\log f(x)\,dx\right]\leq\max_{0\leq x,y\leq1}\left(\sqrt{f(x)}-\sqrt{f(y)}\right)^2$$](http://latex.artofproblemsolving.com/2/f/3/2f35b0b2bd5d0dec59b42d061361e2e0c158cf2b.png)
2 replies
linear algebra difficult concepts
am_11235... 0
Tuesday at 10:38 AM
Source: AMM, proposed by Daniel Goffinet




0 replies
Graph a function by hand using first and second derivatives
bunny321 1
N
Tuesday at 10:08 AM
by Mathzeus1024
Graph
using the first and second derivatives. I need to know things such as x-int, y-int, symmetry, critical numbers, minimums and maximums, increasing and decreasing intervals, points of inflection, and concavity. Could someone please walk me through how to find these things? I needed to graph this function by hand for a quiz and I had a really hard time. Thanks!

1 reply

USAMO Medals
G
H
J
G
H
BBookmark
kLocked
kLocked
NReply
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by PikaPika999
Channing is one of the final bosses of math.
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by PikaPika999, ZMB038, Exponent11
channing used to be my laptop screen saver
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by PikaPika999
Inaaya wrote:
pingpongmerrily wrote:
channing used to be my laptop screen saver
like a certain someone did with asdf
is this like rft's blog? Who specifically has that css of asdf screenshots
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by PikaPika999
Alex-131 wrote:
Inaaya wrote:
pingpongmerrily wrote:
channing used to be my laptop screen saver
like a certain someone did with asdf
is this like rft's blog? Who specifically has that css of asdf screenshots
yeah that person
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by PikaPika999
this entire thread has just become a channing glazing thread :thonk:
channing orz
@2below false
@3below also false (+ double post susus)
channing orz
@2below false
@3below also false (+ double post susus)
This post has been edited 2 times. Last edited by vincentwant, May 5, 2025, 3:58 PM
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by
Inaaya wrote:
u guys need to learn about maths people beyond the aops celebrities bro
like 3b1b and matt parker and ben orlin
oh yeah and our glorious king richard[/quote]
No not even adults bro like even amongst oly people
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by
ohiorizzler1434 wrote:
Inaaya have you even heard of Terence Tao? How could you neglect to mention Terence Tao. It really reflects the problem of AoPS's disconnect from real maths.
But let's get back on point! Amazing job all the USAMO participants! Let's embrace this amazing olympiad journey!
But let's get back on point! Amazing job all the USAMO participants! Let's embrace this amazing olympiad journey!
i am not even close to oly level but whatever
in my mind, the people that i listed make math content for the general audience, while most of the stuff terrence tao makes is targeted toward oly qual or above
mb guys!!
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by dolphinday
there's a lot of cracked aopsers, but one common thread that unites them is that they don't like having a bunch of people on aops borderline worshipping them :/ making a blog specifically dedicated to one child is kinda creepy... it's good to have role models but please don't take it too far
anyways, congrats to all oly takers!! :
D
anyways, congrats to all oly takers!! :

Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by
a_smart_alecks wrote:
there's a lot of cracked aopsers, but one common thread that unites them is that they don't like having a bunch of people on aops borderline worshipping them :/ making a blog specifically dedicated to one child is kinda creepy... it's good to have role models but please don't take it too far
anyways, congrats to all oly takers!! :
D
anyways, congrats to all oly takers!! :

cough cough redfiretruck cough cough
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by
Inaaya wrote:
Tralalero wrote:
Another day another Inaaya glaze. Why is your whole online persona centered around treating AoPSers like gods? Hop off.
who even are you
do i know you
also says the person who literally made a brainrot username
Inaaya don’t listen to them. They’re just dumb, besides this is Channing glaze forum. Look at the tags.
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by
ZMB038 wrote:
Inaaya wrote:
Tralalero wrote:
Another day another Inaaya glaze. Why is your whole online persona centered around treating AoPSers like gods? Hop off.
who even are you
do i know you
also says the person who literally made a brainrot username
Inaaya don’t listen to them. They’re just dumb, besides this is Channing glaze forum. Look at the tags.
bro don't leave out the other amo medal winners

This is a glaze post for all the collective amo takers and winners
All amosers deserve adequate glaze!! not just channing!!!
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by PikaPika999
imagine being so orz that you mop but cant go to mop(cough cough krithik)
This post has been edited 1 time. Last edited by DreamineYT, May 8, 2025, 11:10 PM
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by PikaPika999
is advait even on the lhigh team anymore
or was he too orz for it
or was he too orz for it
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by
vincentwant wrote:
I believe last year Channing did not mop because the test papers got lost or something
ok so i mixed up the years, channing's test papers got lost in 2023 not 2024, and they did get graded eventually
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Z
K
Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Y by Exponent11
Bruh! I'm a big fan of Channing too! Channing is the ORZ sigma who ADMITS!
Z
K
Y
N Quick Reply
G
H
=