Question

6、 求隐 函数xy=e x次方—e y次方的导数 y ,

Answer 1

xy=e^x-e^y

d(xy) = d(e^x-e^y)

xdy + ydx = e^xdx - e^ydy

(x+e^y)dy = (e^x-y)dx

则由

dy/dx=(e^x-y)/(e^y+x)