设y=y(x)是由方程cos(xy)=x 确定的隐函数,则dy是?怎么解的
人气：471 ℃ 时间：2019-08-18 12:52:52
解答
dcos(xy)=dx
-sin(xy)d(xy)=dx
-sin(xy)(ydx+xdy)=dx
-ysin(xy)dx-xsin(xy)dy=dx
dy=-[ysin(xy)+1]dx/[xsin(xy)]
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