Implicit Differentiation question

Question

x^y = y^x

I was wondering if I was right in the steps I was taking

first was to take the Ln or both sides making it

y Ln(x) = x Ln(y)

then just taking the derivatives of both sides using product rule twice

y/x + y'Ln(x) = xy'/y + ln(y)

then I would just solve for y'

am I doing any steps wrong?

Answer 1

I do not see anything wrong with the way you are going about it.

Answer 2

Alright thanks