Question

设z=y/f(x*2-y*2),其中f(u)可微分,求δz/δx,δz/δy.

Answer 1

上边括号内的x*2是x的平方吧?偏Z/偏X=(0-F′(X^2-Y^2)*2X)/F2(X^2-Y^2)=2XF′(X^2-Y^2)/F2(X^2-Y^2)偏Z/偏Y=(1*F(X^2-Y^2)-F′(X^2-Y^2)*2Y*Y)/F2(X^2-Y^2)