Difference between revisions of "User:Temperal/The Problem Solver's Resource9"
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where <math>c</math> is in between <math>x</math> and <math>a</math>. | where <math>c</math> is in between <math>x</math> and <math>a</math>. | ||
− | + | ===Chain Rule=== | |
+ | If <math>h(x) = f(g(x))</math>, then <math>h'(x)=f'(g(x))\cdot g'(x)</math> | ||
===Applications=== | ===Applications=== | ||
*The slope of <math>f(x)</math> at any given point is the derivative of <math>f(x)</math>. (The obvious one.) | *The slope of <math>f(x)</math> at any given point is the derivative of <math>f(x)</math>. (The obvious one.) |
Revision as of 16:08, 13 October 2007
DerivativesThis page will cover derivatives and their applications, as well as some advanced limits. The Fundamental Theorem of Calculus is covered on the integral page. Definition
Basic FactsThe Power RuleRolle's TheoremIf Extension: Mean Value TheoremIf L'Hopital's Rule
Note that this inplies that Taylor's FormulaLet
where Chain RuleIf Applications
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