sin(x^2+y^2)=x,求dy
1个回答

sin(x^2+y^2)=x

两边同时求导,得

(x^2+y^2)'cos(x^2+y^2)=dx

(2xdx+2ydy)cos(x^2+y^2)=dx

2xdx+2ydy=dx/cos(x^2+y^2)

2ydy=dx/cos(x^2+y^2)-2xdx

dy=(dx/cos(x^2+y^2)-2xdx)/2y