cos(y^2-x^2)求导u(x,y)=e^2xycos(y^2-x^2)

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cos(y^2-x^2)求导u(x,y)=e^2xycos(y^2-x^2)

cos(y^2-x^2)求导u(x,y)=e^2xycos(y^2-x^2)
cos(y^2-x^2)求导
u(x,y)=e^2xycos(y^2-x^2)

cos(y^2-x^2)求导u(x,y)=e^2xycos(y^2-x^2)
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)

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