This is a very confusing problem for me

y = 5^3^x^2

Find y'

I read that as

y = 53x^2

take the ln of both sides

lny = ln(53x^2)
= 3x^2(ln5)
(dy/dx)/y = (6ln5)x
dy/dx = (5ln5)xy
or
(6ln5)x(53x^2)