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Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:11:52 AM
Evaluate f ( x ) at all points found in Step 1. minimum, or neither if f ¢¢ ( c ) = 0 . Evaluate f ( a ) and f ( b ) . Identify the abs. max. (largest function value) and the abs. min.(smallest function value) from the evaluations in Steps 2 & 3.
Created Date: 3/16/2008 2:13:01 PM
Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 11/2/2022 7:20:00 AM
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 fx L if for every 0 there is a 0 such that whenever 0 xa then fx L . “Working” Definition : We say lim xa f xL
Find all critical points of f(x) in [a; b]. Evaluate f(x) at all points found in Step 1. Evaluate f(a) and f(b). Identify the absolute maximum (largest function value) and the absolute minimum (smallest function value) from the evaluations in Steps 2 & 3.
Calculus Formulas. d + 1. Power Rules: x n = nx n − 1 xn and ∫ xn dx = + c dx n + 1. d. Product Rule: [ f ( x ) ⋅ g ( x ) ] = f ( x ) ⋅ g ' ( x ) + f ' ( x ) ⋅ g ( x ) dx. d ⎡ f x ⎤ g x f ' x f x ⋅ g ' x. Quotient Rule: ( ) ( ) ⋅ ( ) − ( ) ( ) dx ⎢ = ⎣ g ( ) x ⎥ ⎦ [ ( g x ) ]2.