江西理工大学理学院 初等函数的求导问题 1.常数和基本初等函数的导数公式 初等函数的导数仍为初等函数,下面给出 基本初等函数的求导公式: (1(C)=0 (2)(x)=x-1 (3) (sinx) =cosx (4) (cosx)'=-sin x ()(tanx)'= sec x 2 (6) (cotx)=-csc x (7) (secx)'=secxtanx (8) (csc)=-cscxcotx (9)(a) ina 10)(e) (11) (log,)= (12)(ln xina江西理工大学理学院 一、初等函数的求导问题 1.常数和基本初等函数的导数公式 ( 1 ) ( C )′ = 0 1 ( 2 ) ( ) − ′ = µ µ x µ x 初等函数的导数仍为初等函数，下面给出 基本初等函数的求导公式： ( 3 ) (sin x )′ = cos x ( 4 ) (cos x )′ = −sin x x x 2 ( 5 ) (tan )′ = sec x x 2 ( 6 ) (cot )′ = −csc ( 7 ) (sec x )′ = sec x tan x ( 8 ) (csc )′ = −csc x cot x x x a a a (10 ) ( e )′ = e x x ( 9 ) ( )′ = ln x x 1 (12 ) (ln )′ = x a x a ln 1 (11 ) (log )′ =