Suppose that ?(?)=?^4−5?^3
(A) List all the critical values of ?(?). Note: If there are nocritical values, enter 'NONE'.
(B) Use interval notation to indicate where f(x) isincreasing.
Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U'for the union symbol.
Increasing:
(C) Use interval notation to indicate where f(x) isdecreasing.
Decreasing:
(D) List the x values of all local maxima of f(x). If there areno local maxima, enter 'NONE'.
x values of local maximums =
(E) List the ?x values of all local minima of f(x). If there areno local minima, enter 'NONE'.
x values of local minimums =Â Â (F) Use interval notationto indicate where f(x) is concave up.
Concave up:
(G) Use interval notation to indicate where ?(?)f(x) is concavedown.
Concave down:
(H) List the ? values of all the inflection points of f. Ifthere are no inflection points, enter 'NONE'.
? values of inflection points =
