設z=xF(xy^2,e^(x的平方)再乘y),F有連續偏導數,求Zx,Zy

設z=xF(xy^2,e^(x的平方)再乘y),F有連續偏導數,求Zx,Zy

是這個意思嗎:z=xF(xy²;,(e^x²;)y),那麼記F=F(xy²;,(e^x²;)y),F1=dF/d(xy²;),F2=dF/d[(e^x²;)y],Fx=F1*d(xy²;)/dx+F2*d[(e^x²;)y]/dx=y²;F1+2xy(e^x²;)F2Fy=F1*d(xy²;…