A problem of derivation of higher numbers y‘=(x+xy')/xy One is direct derivation on both sides, and the other is multiplication of XY to the left. Why are the results different I'll get extra points if you understand me

A problem of derivation of higher numbers y‘=(x+xy')/xy One is direct derivation on both sides, and the other is multiplication of XY to the left. Why are the results different I'll get extra points if you understand me

The result must be the same
Is the method of "one is direct derivation on both sides" wrong?
Because it's possible that you didn't take y 'as a function when you used the first method to derive y'
Error caused