d(a =a In ade e=e ar d (loga x) d x d (In x)=dx rIna d(arcsinx) dx d(arccos) d(arctan) 1+x arccot 1+x 2.函数和、差、积、商的微分法则 d(u±v)=dudh d(cu)=Cdu u vau-uay (uv)=vdu+ udv Economic-mathematics 18-12 Wednesday, February 24, 2021Economic-mathematics 18- 12 Wednesday, February 24, 2021 d x x d x d x x d x d x x d x d x x d x d x x d x d x x a d x d a a adx d e e d x a x x x x 2 2 2 2 1 1 ( cot ) 1 1 (arctan ) 1 1 (arccos ) 1 1 (arcsin ) 1 (ln ) ln 1 (log ) ( ) ln ( ) + = − + = − = − − = = = = = 2. 函数和、差、积、商的微分法则 2 ( ) ( ) ( ) ( ) v vdu udv v u d uv vdu udv d d u v du dv d Cu Cdu − = + =  =  = arc