Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. © 2005 Paul Dawkins Chain Rule Variants The chain rule applied to some specific functions. 1. d(f()xnn) nf()x1fx() dx غøß= Øøºß-¢ 2. d (f()x) fx()fx() dx ee= ¢ 3. (()) ( ) ln d fx fx dxfx ¢ Øøºß= 4. (sin()) ()cos d fxfxfx dx غøß ...
Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:11:52 AM
Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 11/2/2022 7:21:57 AM
Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. © 2005 Paul Dawkins Extrema Absolute Extrema 1. x cis an absolute maximum offx if f cfx for all …
Let u=f(x) (can be more than one variable). Determine: du= f(x) dx and solve for dx dx. Then, if a definite integral, substitute the bounds for u=f(x) at each bounds Solve the integral using u. the ultimate variable you are looking for summed with the same process for other first-order variables this makes sense for. Example:
Fundamental Theorem of Calculus: Suppose 𝑓𝑓(𝑥𝑥) is continuous on [𝑎𝑎,𝑏𝑏], then Part I: ∫𝑙𝑙(𝑥𝑥) ( =∫𝑓𝑓(𝑡𝑡)𝜋𝜋𝑡𝑡 𝑥𝑥
Calculus Cheat Sheet Limits Definitions Precise Definition : We say lim f x ( ) = L if Limit at Infinity : We say lim f x ( ) = L if we xa → x →∞ for every ε > 0 there is a δ > 0 such that can m ake fx ( ) as close to L as we want by whenever 0 < xa. −< δ. t hen . f x ( ) −< L ε. taking . x. l arge enough and positive. “Working ...
Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. © 2005 Paul Dawkins Limits Definitions Precise Definition : We say lim ( ) xa f x L → = if for every ε>0 there is a δ>0such that whenever 0<−<xa δ then f x …
Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. Sketch picture and identify known/unknown quantities. Write down equation relating quantities and differentiate with respect to t using implicit differentiation (i.e. add on a derivative every time you differentiate a …
Calculus CheatSheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. © 2005 Paul Dawkins Limits Definitions Precise Definition : We say lim ( ) xa fxL fi = if for every …