Problem: Find minimum?maximum for:

Question

y=xa^(1/x)

Ans given: X=ln(a) (min)

Can't get to it.

Answer 1

y = xa^(1/x)
y' = (1/x) a^(1/x) (x - ln(a))

Since the first two terms are never zero, y'=0 when

x = ln(a)