MATH140 Final Cheat Sheet - Page 1LimitsArea Between CurvesChain RuleIntermediate Value TheoremOne Sided LimitsDerivative of an IntegralMean Value TheoremFirst/ Second Derivative TestsLimit Definition of DerivativesRolle's TheoremNewton Raphson MethodPower RuleRelated RatesProduct/Quotient RuleMATH140 Final Cheat Sheetby 02gguzman via cheatography.com/129999/cs/25725/LimitsOne Sided LimitsShow that the side you are evaluating existsIf it is defined @ value plug it inFirst/ Second Derivative TestsFirst Second1. Takederivative andfind c.v.1. Take and find c.v.2. Use a signchart2. Use a sign chart+ is inc. / - is dec. + is CC up / - is CCdownshows extrema shows inflection points* test endpoints *if checking extremasign is the opposite Area Between CurvesDerivative of an IntegralLimit Definition of DerivativesPower RuleProduct/Quotient Rule Chain RuleIntermediate Value TheoremIF f is a function that is continuous over theinterval [a,b] and m is some numberbetween f (a) and f (b), THEN there exists anumber c between and b such that f (c)=m.Mean Value TheoremRolle's Theorem IF: - [a,b] is continuous - (a,b) is differentiable - f(a)=f(b)THEN: f'(c)=0Newton Raphson MethodRelated Rates1. Draw a picture and label2. Use formula for area/volume of shape3. Take derivative of formula4. Plug in values to each formula asneeded*One variable will NOT have a rate ofchange (ex. ladder)By 02gguzmancheatography.com/02gguzman/ Published 16th December, 2020.Last updated 16th December, 2020.Page 1 of 1. Sponsored by CrosswordCheats.comLearn to solve cryptic
View Full Document
Unlocking...