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 fxL fi = if for every e> 0 there is a d > 0 such that whenever 0 <xa-<d then f(xL)-<e. “Working” Definition : …
Calculus Formulas Power Rules: xn =nxn−1 dx d and ∫ + + = + c n x x dx n n 1 1 Product Rule: []f ()x g x f () ()x g x f x g x dx d ⋅ = ⋅ ' + ' ⋅ Quotient Rule: () () ()( ) []()2 ' ' g x g x f x f x g x g x f x dx d ⋅ − ⋅ ⎥= ⎦ ⎤ ⎢ ⎣ ⎡ Reciprocal Rule: () []()2 1 ' g x g x dx g x d − ⎥= ⎦ ⎤ ⎢ ⎣ ⎡ Chain ...
Created Date: 3/16/2008 2:13:01 PM
Calculus Formulas - Differential and Integral Calculus Formulas
In this page, you can see a list of Calculus Formulas such as integral formula, derivative formula, limits formula etc. Since calculus plays an important role to get the optimal solution, it involves lots of calculus formulas concerned with the study of the rate of change of quantities.
Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:11:52 AM
Formulas and Theorems 1a. Definition of Limit: Let f be a function defined on an open interval containing c (except possibly at c) and let L be a real number. Then f x L means that for each x a = → lim ( ) ε > 0 there exists a δ > 0 such that f (x) − L < ε whenever 0 < x −c < δ. 1b. A function y = f (x) is continuous at x = a if i). f ...
Discontinuous Integrand lim f (x) Improper Integral Cylinderê A = 27T (radius) (width / height inner radius) Volumes of Revolution : and Area Between Curves :
AP Calculus Formula List Math by Mr. Mueller Page 6 of 6 ( ) ( ) ( ) ( ) ( ) 2 2 2 Polar Coordinates and Graphs: For : cos , sin , , tan cos ' sin cos 'sin Slope of a polar curve: sin ' cos sin 'cos Area inside a polar curve y r f x r y r r x y x dy dy d r rf f dx dx d f f r r
Position/Velocity/Acceleration Formulas If s(t) gives the position at time t of an object moving in a straight line, then the average velocity of the object over the interval [ t,t+∆t ] is given by:
Basic Properties and Formulas If fx and g x are differentiable functions (the derivative exists), c and n are any real numbers, 1. cf cf x