Question

Partial derivative with respect to x

Answer 1

\[z(\ln(\frac{ x }{ y }))\]

Answer 2

Treat z as a constant, derivative of ln(x/y) with respect to x would just be (y/x) right?
So my answer would be zy/x?

Answer 3

Im making a mistake with chain rule I think but i cant see what it is for some reason

Answer 4

Ah I see what it is. It should be \[z(y/x)(1/y)\]