导数公式 微分公式 (cscx)=-cscxcotx d(cscx)=-cscxcotxdx (a")'=alna d(a)=alnadx (e)=e d(e")=e*dx (logax)= xlna d(log。x)= Ina (Inx)'= d(In x)-dx X X (arcsinx) d(arcsin x)= dx (arccos x) d(arecos) dx (arctan x) d(arctan x)= dx + (arccotx)= d(arc cot x)=- dx 1+x2 1+x2 HIGH EDUCATION PRESS导数公式 微分公式 (cscx )′= -cscxcotx d(cscx ) = -csc xcotx dx ( a x )′= a x ln a d( a x )= a x ln a dx ( ex )′= ex d( ex )= ex dx ' 1 (log ) ln a x x a = 1 d(log ) d ln a x x x a = ' 1 (ln ) x x = 1 d(ln ) d x x x = ' 2 1 (arcsin ) 1 x x = − 2 1 d(arcsin ) d 1 x x x = − ' 2 1 (arccos ) 1 x x = − − 2 1 d(arccos ) d 1 x x x = − − ' 2 1 (arctan ) 1 x x = + 2 1 d(arctan ) d 1 x x x = + ' 2 1 (arccot ) 1 x x = − + 2 1 d(arccot ) d 1 x x x = − +