For the Function : ​

For the function : ​
(a) Find the critical numbers of f (if any) ;
(b) Find the open intervals where the function is increasing or decreasing; and
(c) Apply the First Derivative Test to identify all relative extrema.
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Then use a graphing utility to confirm your results.
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A) (a)
(b) increasing: ; decreasing:
(c) relative max: ; relative min:
B) (a)
(b) decreasing: ; increasing:
(c) relative min: ; relative max:
C) (a)
(b) increasing: ; decreasing:
(c) relative max: ; no relative min.
D) (a)
(b) increasing: ; decreasing:
(c) relative max: ; relative min:
E) (a)
(b) decreasing: ; increasing:
(c) relative min: ; relative max: