第工章导数与微分 高等数学少学时 三、微分的公式及运算法则 1.基本初等函数的微分公式 (1) (c)=0, d(c=0, (2) ()=a, d(x")=pxa-Idx, (3) (sinx)=cosx, d (sinx)=cosxdx, (④)(cosx)=-sinx, d(cosx)=-sinxdx, (tanx)=secx, d (tanx)=sec xdx, (6) (cotx)=-csc'x, d(cotx)=-csc2xdx, (7)(secx)=secxtanx,d(secx)=secxtanxox, ⑧)(csex)=-cscxcot.x, d(cscx)=-cscxcotxdx, 北京邮电大学出版社8 1. 基本初等函数的微分公式 (1) (C) = 0,  d (C) = 0, (2) ( ) , −1 =    x x ( ) , 1 d x x dx  − =  (3) (sin x) = cos x,  d (sin x) = cos xdx, (4) (cos x) = −sin x,  d(cos x) = −sin xdx, 三、微分的公式及运算法则 (5) (tan ) sec , 2 x = x  (tan ) sec , 2 d x = xdx (6) (cot ) csc , 2 x = − x  (cot ) csc , 2 d x = − xdx (7) (secx) = secx tan x,  d (secx) = secxtan xdx, (8) (csc x) = −csc x cot x,  d (csc x) = −csc xcot xdx