E)
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.
A) (a) x = 0 , 6 (b) increasing: ; decreasing: (c) relative max:
; relative min:
B) (a) x = 0 , 6 (b) decreasing: ; increasing: (c) relative min:
; relative max:
C) (a) x = 0 , 2 (b) increasing: ; decreasing: (c) relative max:
; relative min:
D) (a) x = 0 , 2 (b) decreasing: ; increasing: (c) relative min:
; relative max:
E) (a) x = 0 , 2 (b) increasing: ; decreasing: (c) relative max:
; no relative min.