Question

x/y=ln(xy)求导

Answer 1

x/y = ln(xy)
x = yln(xy)
1 = y' ln(xy)+y(y+xy')/(xy)
xy = xyy'ln(xy)+y^2+xyy'
y'[xy ln(xy)+y^2+xy]=xy
y' = x / [x ln(xy)+y+x]