Important Formulas

(xm)(n)=m!(m−n)!xm−n

(xn)(n)=n!

(logax)(n)=(−1)(n−1)⋅(n−1)!xn⋅lna

(lnn)(n)=(−1)n−1(n−1)!xn

(ax)(n)=ax⋅lnna

(ex)(n)=ex

(amx)(n)=mnam⋅xlnna

(sinx)(n)=sin(x+nπ2)

(cosx)(n)=cos(x+nπ2)