cos(xy)=(xy)^2求dy请高人解析一下

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cos(xy)=(xy)^2求dy请高人解析一下cos(xy)=(xy)^2求dy请高人解析一下cos(xy)=(xy)^2求dy请高人解析一下两面对x同时求导得-sin(xy)(y+xy'')=2xy

cos(xy)=(xy)^2求dy请高人解析一下
cos(xy)=(xy)^2求dy
请高人解析一下

cos(xy)=(xy)^2求dy请高人解析一下
两面对x同时求导得
-sin(xy)(y+xy')=2xy(y+xy')
整理得 -ysin(xy)-2xy²=[xsin(xy)+2x²y]y'
y'=-[ysin(xy)+2xy²]/[xsin(xy)+2x²y]