y=(4-x3+Inx)(cosx+sinx) 请讲这道题求导,x3是x的3次方,_数学解答

y=(4-x3+Inx)(cosx+sinx)
请讲这道题求导,x3是x的3次方,

人气：450 ℃　时间：2019-10-29 16:23:19

解答

y′=[(4-x³+Inx)(cosx+sinx)]′=(4-x³+Inx)′(cosx+sinx)+(4-x³+Inx)(cosx+sinx)′=(4′-x³′+Inx′)(cosx+sinx)+(4-x³+Inx)(cosx′+sinx′)=(-3x²+1/x)(cosx+sinx)+(4-x³+Inx)(...