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高数题求解!
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z=e^(xy) sin(x+y)
∂z/∂x=ye^(xy) sin(x+y) +e^(xy) cos(x+y)
=e^(xy) [ysin(x+y)+cos(x+y)]
∂z/∂y=xe^(xy) sin(x+y) +e^(xy) cos(x+y)=e^(xy) [xsin(x+y)+cos(x+y)]
∂z/∂x=ye^(xy) sin(x+y) +e^(xy) cos(x+y)
=e^(xy) [ysin(x+y)+cos(x+y)]
∂z/∂y=xe^(xy) sin(x+y) +e^(xy) cos(x+y)=e^(xy) [xsin(x+y)+cos(x+y)]
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