问题描述： x=sin(y/x)+e^2 求dy/dx 1个回答 分类：数学 2014-11-13 问题解答： 我来补答 x=sin(y/x)+e^2 求dy/dxd(x)=d(sin(y/x)+e^2)dx=dsin(y/x)+de^2dx=cos(y/x)d(y/x)dx=cos(y/x)(xdy-ydx)/x^2x^2dx=xcos(y/x)dy-ycos(y/x)dxx^2dx+ycos(y/x)dx=xcos(y/x)dydy/dx=(x^2+ycos(y/x))/xcos(y/x)sin(y/x)=x-e^2y/x=arcsin(x-e^2)dy/dx=(x^2+ycos(arcsin(x-e^2)))/xcos(arcsin(x-e^2)) 展开全文阅读
