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MATH140 Final Cheat Sheet by 02gguzman via cheatography com 129999 cs 25725 Limits Area Between Curves Chain Rule One Sided Limits Show that the side you are evaluating exists If it is defined value plug it in Derivative of an Integral First Second Derivative Tests Second 1 Take and find c v First 1 Take derivative and find c v 2 Use a sign 2 Use a sign chart chart is inc is dec is CC up is CC down shows extrema shows inflection points test endp oints if checking extrema sign is the opposite Limit Definition of Deriva tives Power Rule Produc t Q uotient Rule Interm ediate Value Theorem IF f is a function that is continuous over the interval a b and m is some number between f a and f b THEN there exists a number c between and b such that f c m Mean Value Theorem Rolle s Theorem IF a b is continuous a b is differ ent iable f a f b THEN f c 0 Newton Raphson Method Related Rates 1 Draw a picture and label 2 Use formula for area v olume of shape 3 Take derivative of formula 4 Plug in values to each formula as needed One variable will NOT have a rate of change ex ladder By 02gguzman Published 16th December 2020 Sponsored by CrosswordCheats com Last updated 16th December 2020 Learn to solve cryptic crosswords Page 1 of 1 http crosswordcheats com cheatography com 02gguzman


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PSU MATH 140 - MATH140 Final

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