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Math 1132 Week 1 Derivative: The Derivative of a function f(x) tells us the rate of change of that function. It is written as F’(x)=df/dx=lim(h->0) (f(x+h)-f(x)/h Trigonometric Derivatives and Identities: d/dx sinx=cosx d/dx cosx= -sinx d/dx tanx=sec^2 x d/dx cotx= -csc^2 x d/dx secx=secxtanx d/dx cscx= -cscxcotx sin^2 x+cos^2 x=1 tan^2 x+1=sec^2 x sin^2 x=1/2(1-cos(2x)) cos^2 x=1/2(1+cos(2x)) cos^2 x -sin^2 x=cos^2 x sin^2 x=2sinxcosx sinθ= a/c cosθ= b/c tanθ= a/b cscθ= c/a secθ= c/b cotθ= b/a Antiderivative: The antiderivative of a function f(x) is a f