西安毛子科技大学函数的求导法则XIDIAN UNIVERSITY例6设 =x+a"+α"(a>0),求 y'(a")'= a"Ina解y'= a"xa"-l +ar" In a.axa-l +aa" Ina.a" In aSin.T例7设y=e",求"(e*)'=e*sin!解 y'= (e"*)=e"x.(sinxsin!Sin!x.cosx.coSe=e中xxx函数的求导法则 例6 设 ( 0), 求 a a x a x a y x a a a = + + y . 解 1 a a a y a x − = ( ) ln x x a a a = 1 ln a x a a a ax − + ln ln x a x + a a a a 例7 设 求 1 sin e x y = , y . 1 sin e x = 解 y = 1 sin (e ) x 1 sin e x = (sin 1 ) x cos 1 x 1 ( ) x = 1 sin 1 e cos x x 2 1 ( ) x − ( )x x e e =