Question

Give the relative extrema and points of inflection of function y=x^5+4.
Relative Maximum________
Relative Minimum_________
Point of Inflection_________
(If an answer does not exist, enter DNE.)

Answer 1

So I know first step is to take the derivative which is f'= 5x
Then I set the f'= 5x= 0
Critical point is x=0
No what do I do to find inflection point and the relative min and max?

Answer 2

would I set F'(1) and F'(10)?