Question

e^2xy*cos(y^2-x^2) 分别对x,y求导,

Answer 1

ux=2ye^2xycos(y^2-x^2)+e^2xysin(y^2-x^2) *(-2x)

=2ye^2xycos(y^2-x^2)-2xe^2xysin(y^2-x^2)

uy=2xe^2xycos(y^2-x^2)+e^2xysin(y^2-x^2) *(2y)

=2xe^2xycos(y^2-x^2)+2ye^2xysin(y^2-x^2)