Difference between revisions of "Derivative/Formulas"
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== List of formulas == | == List of formulas == | ||
− | {| style="margin: 1em auto 1em auto" | + | {| style="margin: 1em auto 1em auto; height:1000px" |
− | | | + | | <math>\frac d{dx}(cf(x)) = c\left(\frac d{dx} f(x)\right)</math> |
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− | | | + | | <math>(f(x)+g(x))' = f'(x) + g'(x)</math> |
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− | | | + | | <math>\left(\frac{u(x)}{v(x)}\right)' = \frac{u'(x)v(x) - u(x)v'(x)}{(v(x))^2}</math> |
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− | | | + | | <math>(f(g(x)))' = f'(g(x))g'(x)</math> |
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− | | | + | | <math>\frac d{dx} x^n = n x^{n-1}</math> |
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− | | | + | | <math>\frac d{dx} \sin x = \cos x</math> |
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− | | | + | | <math>\frac d{dx} \cos x = -\sin x</math> |
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− | | | + | | <math>\frac d{dx} \tan x = \sec^2 x</math> |
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− | | | + | | <math>\frac d{dx} \sec x = \sec x \tan x</math> |
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− | | | + | | <math>\frac d{dx} \csc x = -\csc x\cot x</math> |
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− | | | + | | <math>\frac d{dx} \cot x = -\csc^2 x</math> |
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− | | | + | | <math>\frac d{dx} e^x = e^x</math> |
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− | | | + | | <math>\frac d{dx} a^x = (\ln a) a^x</math> |
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− | | | + | | <math>\frac d{dx} \ln x = \frac 1x</math> |
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− | | | + | | <math>\frac d{dx} \arcsin x = \frac 1{\sqrt{1-x^2}}</math> |
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− | | | + | | <math>\frac d{dx} \arccos x = -\frac 1{\sqrt{1-x^2}}</math> |
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− | | | + | | <math>\frac d{dx} \arctan x = \frac 1{1+x^2}</math> |
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− | | | + | | <math>\frac d{dx} \mathrm{arcsec \ } x = \frac 1{\mid x \mid\sqrt{x^2-1}}</math> |
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− | | | + | | <math>\frac d{dx} \mathrm{arccsc \ } x = - \frac 1{x\sqrt{x^2 - 1}}</math> |
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− | | | + | | <math>\frac d{dx} \arccot x = - \frac 1{1+x^2}</math> |
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Revision as of 22:09, 30 July 2006
List of formulas
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$\frac d{dx} \arccot x = - \frac 1{1+x^2}$ (Error compiling LaTeX. Unknown error_msg) |