设Z=x^2lny-sin(xy),求全微分dz
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设Z=x^2lny-sin(xy),求全微分dz设Z=x^2lny-sin(xy),求全微分dz设Z=x^2lny-sin(xy),求全微分dz解对x求偏导:2xlny-ycosxy对y求偏导:x
设Z=x^2lny-sin(xy),求全微分dz
设Z=x^2lny-sin(xy),求全微分dz
设Z=x^2lny-sin(xy),求全微分dz
解
对x求偏导:2xlny-ycosxy
对y求偏导:x²/y-xcosxy
∴
dz=(2xlny-ycosxy)dx+(x²/y-xcosxy)dy
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