Common Derivatives

Basic Properties of Derivatives

(c⋅f(x))′=c⋅f′(x)

(f±g)′=f′±g′

Product rule

(f⋅g)′=f′⋅g+f⋅g′

Quotient rule

(fg)′=f′⋅g−f⋅g′g2

Chain rule

(f(g(x)))′=f′(g(x))⋅g′(x)

Common Derivatives

ddx(C)=0

ddx(x)=0

ddx(xn)=n⋅xn−1

ddx(sinx)=cosx

ddx(cosx)=−sinx