x^2+y^2-xlny=10 ,求dy和dy/dx

x^2+y^2-xlny=10 ,求dy和dy/dx 方程y=xlny确定了函数y=y(x),求dy/dx 设有方程y=xlny+x^3确定了一个函数y=f(x),求dy/dx (x^2)dy+（y^2)dx=dx-dy d^2y/dx^2=(dy/dx)'×(dy/dx),另外请解释下dx,dy的含义,dx和dy是指x=...和y=... 求dy/dx=(x-y+5)/(x+y-2) Y=2-sinx.求dy/dx及dy/dx|x=0 dy/dx-y/x=x^2 求dy/dx=x/y+(cosx/y)^2通解 y=f[(x-1)/(x+1)],f'(x)=arctanx^2,求dy/dx,dy y=2x^2+x求dy/dx x=sin(y/x)+e^2 求dy/dx