已知z= 3sin(sin(xy)),则x=0,y=0时的全微分dz=()

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已知z=3sin(sin(xy)),则x=0,y=0时的全微分dz=()已知z=3sin(sin(xy)),则x=0,y=0时的全微分dz=()已知z=3sin(sin(xy)),则x=0,y=0时的

已知z= 3sin(sin(xy)),则x=0,y=0时的全微分dz=()
已知z= 3sin(sin(xy)),则x=0,y=0时的全微分dz=()

已知z= 3sin(sin(xy)),则x=0,y=0时的全微分dz=()
设sinxy=u,sinu=v
所以
z=3v
dz=3(dv/du)(du/dx)(du/dy)
=3cosu(ycosxy)(xcosxy)
=3xy(cos^2xy)cos(sinxy)