e^(xy)+sin(x+y)+1=0 隐函数求导e^(xy)+sin(x+y)+1=0 隐函数求导_数学解答

e^(xy)+sin(x+y)+1=0 隐函数求导
e^(xy)+sin(x+y)+1=0 隐函数求导

人气：150 ℃　时间：2020-02-19 01:45:37

解答

e^(xy)+sin(x+y)+1=0[e^(xy)]'+[sin(x+y)]'+1'=0'e^(xy)*(xy)'+cos(x+y)*(x+y)'+0=0e^(xy)(x'y+xy')+cos(x+y)*(x'+y')=0e^(xy)(y+xy')+cos(x+y)(1+y')=0ye^(xy)+xe^(xy)y'+cos(x+y)+cos(x+y)y'=0[xe^(xy)+cos(x+y)]y...