3 CALCULUS Differentiation y=f(x) dy dx =′f(x) lnx 1 x e ax ae ax sinxcosx cosx−sinx tanxsec 2 x secxsecxtanx cosecx−cosecxcotx cotx−cosec 2 x Integration f(x)f(x)dx ∫ x n x n+1 n+1 +c 1 x lnx+c