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三、微分计算 基本初等函数的微分公式: d(c)=0 d(x)=ux-dx d(sinx)=cos xdx d(cosx)=-sinxdx d(tanx)=sec2 xdx d(cotx)=-csc2xdx d(secx)=secxtanxdx d(cscx)=-cscxcot xdx darcsin d(arccosx)=- dx √1-x2 d(arctanx)= 1 d(a")=a"Inadx d(e*)=e"dx d(log。x)=dr d(I)=Idx xIna三、微分计算 基本初等函数的微分公式: d 0 (c) = ( ) 1 d d x x x    − = d sin cos d ( x x x ) = d cos sin d ( x x x ) = − ( ) 2 d tan sec d x x x = ( ) 2 d cot csc d x x x = − ( ) 2 1 d arcsin d 1 x x x = − ( ) 2 1 d arccos d 1 x x x = − − d sec sec tan d ( x x x x ) = d csc csc cot d ( x x x x ) = − d ln d ( ) x x a a a x = d d ( ) x x e e x = ( ) 1 d log d ln a x x x a = ( ) 1 d ln d x x x = ( ) 2 1 d arctan d 1 x x x = + ( ) 2 1 d arccot d 1 x x x = − +
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