求f(x,y)=sin(xy+x+y)的全微分?

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求f(x,y)=sin(xy+x+y)的全微分?求f(x,y)=sin(xy+x+y)的全微分?求f(x,y)=sin(xy+x+y)的全微分?f''x=cos(xy+x+y)*(y+1)f''y=cos

求f(x,y)=sin(xy+x+y)的全微分?
求f(x,y)=sin(xy+x+y)的全微分?

求f(x,y)=sin(xy+x+y)的全微分?
f'x=cos(xy+x+y)*(y+1)
f'y=cos(xy+x+y)*(x+1)
dz=f'xdx+f'ydy=cos(xy+x+y)*[(y+1)dx+(x+1)dy]