四、初等函数的求导问题 1.常数和基本初等函数的导数 (C)=0 (x")y=x-1 (Sin x)=cos x (cos x)=-sin x (tan x)=sec x (cot x)=-CSC4x (secx)’= secx tan x( CSCX csce cot x C (loga x) nx xIna arcsinX)= arccos arctan x (arccot x)= 1+x四、初等函数的求导问题 1. 常数和基本初等函数的导数 (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 −