Find relative maxima and minima of

Question

g(x)= 2x^2+ 4000/x +10

Answer 1

g ' (x) = 4x - 4000/x^2 + 0
= 0 for a max/min

4x = 4000/x^2
4x^3 = 4000
x^3 = 1000
x = 10

when x = 10
f(10) = 200 + 400 + 10 = 610

there is a relative min 610 at x=10