# Calculus

 y = cos x y'=? y' = -sin x y = sin x y'=? y' = cos x y = tan x y' = y'=sec2 x y = cot x y' = ? y'=-csc2x y = sec x y'=? y'=sec x * tan x y = csc x y'= y'= csc x * cot x Power Chain Rule Given y = (f(x))n y'= y' = n (f(x))n-1*f '(x) Chain Rule Given y = f(g(x)) y'= ? y'= f '(g(x))*g'(x) Exponential Functions Given y = ax y'=? y' = ax * ln a Implicit Differentation 1) Differentiate both sides w/respect to 'x'2) Treat 'y' as function of 'x' and multiply 'y' by dy/dx3) Collect all dy/dx on one side and solve for dy/dx Normal/Perpendicular take negative inverse of slope Inverse Functions 1) Solve for 'x' in terms of 'y'2) Swap domain (x) and range (y) Derivitive of Inverse Function y = f(x) y'=? y'= 1/f ' (x) ln (a*b) = ? ln a + ln b ln (a/b) = ? ln a - ln b ln Ac= ? C ln A logaa=? 1 alogax=? x y = ln (f(x)) y' = ? f ' (x) / f(x) Trig Review sin 2x= 2sin x cos xcos2x=cos2x-sin2xsin(a+b) = sin a cos b + cos a sin bcos(a+b) = cos a cos b - sin a sin b Authorashleystewart ID42254 Card SetCalculus DescriptionCalculus Exam #2 Updated2010-10-15T00:28:55Z Show Answers