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