已知方程sin(xy)+x+y=1确定了函数y=y(x),求y'.
1个回答
两边求导得:
cos(xy)*(y+xy')+1+y'=0
y'[xcos(xy)+1]=-ycos(xy)-1
所以,y'=-[ycos(xy)+1]/[xcos(xy)+1]
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