Question

1) Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.):

g(u) = 0.3u³ + 1.8u² + 146

a)

local minimum values:

b)

local maximum values:

2) Consider the following:

f(x) = x⁴ − 32x² + 6

(a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.)

increasing:
decreasing:

(b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.)

local minimum value
local maximum value

(c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.)

concave up
concave down
inflection point	(x, y) =
inflection point	(x, y) =

Answer 1

Let us solve.