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已知sin(xy)-ln((x+1)/y)=1 求dy/dx
人气:195 ℃ 时间:2019-12-11 09:21:22
解答
cos(xy)(xy)'-[y/(x+1)-y']/y^2=0
cos(xy)(y+xy')-[y/(x+1)-y']/y^2=0
y'[xcos(xy)+1/y^2]=1/y(x+1)-ycos(xy)
y'=[1/y(x+1)-ycos(xy)]/[xcos(xy)+1/y^2]
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