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.
​
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: