sin(xy)=x+y用取对数求导法怎么做

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sin(xy)=x+y用取对数求导法怎么做
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sin(xy)=x+y用取对数求导法怎么做
sin(xy)=x+y用取对数求导法怎么做

sin(xy)=x+y用取对数求导法怎么做
为什么要取对数呢,直接两边求导更方便啊:
sin(xy)=x+y
cos(xy)*(xy)'=1+y'
cos(xy)(y+xy')=1+y'
y'[xcos(xy)-1]=1-ycos(xy)
y'=[1-ycos(xy)]/[xcos(xy)-1].