Question

设f(x,y)具有连续偏导数,当x不等于0时,f(x,x^2)=1,对x偏导fx'(x,x^2)=1

Answer 1

对f(x,x^2)=1求导得

fx'(x,x^2)+fy'(x,x^2)*2x=0,代入条件得

fy'(x,x^2)=--1/(2x).