Differentiation of some standard functions

d/dx of sinx = cos x

d/dx of cosx = - sin x

d/dx of tanx = sec²x

d/dx of cot x = -cosec²x


d/dx of xⁿ = nx^n-1

d/dx of log x = 1/x

d/dx of e^x = e^x

d/dx of a^x = a^xlog a

d/dx of sin^-1x = 1/√(1-x²)

d/dx of tan^-1 x = 1/(1+x²)