设函数y=f(x)由方程sin y+e^x-xy^2=0确定,求d y/d x

设函数y=f(x)由方程sin y+e^x-xy^2=0确定,求d y/d x
设函数y=f(x)由方程sin y+e^x-xy^2=0确定,求d y/d x

设函数y=f(x)由方程sin y+e^x-xy^2=0确定,求d y/d x
Fx=e^x-y^2
Fy=cosy-2xy
d y/d x=-Fx/Fy=(y^2-e^x)/(cosy-2xy)