偏导数的题,
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偏导数的题,
zu=e^v·cosu
zv=e^v·sinu
ux=uy=1
vx=y,vy=x
∴zx=e^v·cosu·1+e^v·sinu·y
=e^(xy)[cos(x+y)+y·sin(x+y)]
zy=e^v·cosu·1+e^v·sinu·x
=e^(xy)[cos(x+y)+x·sin(x+y)]
偏导数的题,
zu=e^v·cosu
zv=e^v·sinu
ux=uy=1
vx=y,vy=x
∴zx=e^v·cosu·1+e^v·sinu·y
=e^(xy)[cos(x+y)+y·sin(x+y)]
zy=e^v·cosu·1+e^v·sinu·x
=e^(xy)[cos(x+y)+x·sin(x+y)]