四、初等函数的求导问题 1.常数和基本初等函数的导数(P94) (C)'=0 (x“)y=4x4-1 (sinx)=cosx (cosx)'=-sinx (tanx)'=sec2 x (cot x)'=-cscx (secx)'=secxtanx (cscx)'=-csc x cotx (ax)'=axIna (e")'=ex (loga x)'=-1 (inxy=I na (arcsinx)= 1-x2 (arccosx)=- 1-x2 1 (arctanx)'= 1+x2 (arccotx)'=-_ +x2 o0o0 机无 四、初等函数的求导问题 1. 常数和基本初等函数的导数 (P94) (C) = 0 ( ) =  x −1  x (sin x) = cos x (cos x) = −sin x (tan x) = x 2 sec (cot x) = x 2 − csc (sec x) = sec x tan x (csc x) = − csc x cot x ( ) = x a a a x ln ( ) = x e x e (loga x) = x ln a 1 (ln x) = x 1 (arcsin x) = 2 1 1 − x (arccos x) = 2 1 1 − x − (arctan x) = 2 1 1 + x (arccot x) = 2 1 1 + x − 机动 目录 上页 下页 返回 结束