Question

a) Find the intervals over which f is increasing or decreasing.

b) Find the local maximum and minimum values of f.

c) Find the concavity intervals and the inflection points.

?(?)=4x^{3}+3?^{2}−6?+4

Answer #1

Find the intervals on which f is increasing or decreasing. Find
the local maximum and minimum values of f. Find the intervals of
concavity and the inflection points. f(x) = x √ 6 − x

Find a. intervals on which the function is increasing or
decreasing. b. the local maximum and minimum values of the
function. c. the intervals of concavity and the inflection points.
h(θ) = sin(2θ)/1 + cos(θ)

If f(x)-x^3-3x;
a) find the intervals on which f is increasing or
decreasing.
b)find the local maximum and minimum values
c)find the intervals of concavity and inflection points
d)use the information above to sketch and graph of f

Let f(x)=2x^3 - 9x^2 +12x -4
Find the intervals of which f is increasing or decreasing
Find the local maximum and minimum values of f
Find the intervals of concavity and the inflection points

Consider the following. f(x) = 4x3 − 6x2 − 24x + 4
(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) =

For
the following functions: find the intervals on which f is
increasing or decreasing, the local max and min of f, and the
intervals of concavity and inflextion points.
f(x) = 3^(arctanx)
f(x) = sqrt(x^2 + 1) - x

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:...

For the curve f(x) = 2x 3 − 9x 2 + 12x − 5, find (i) the local
maximum and minimum values, (ii), the intervals on which f is
increasing or decreasing, and (iii) the intervals of concavity and
the inflection points.

Find the intervals of increase or decrease.
Find the local maximum and minimum values.
Find the intervals of concavity and the inflection points.
Use the information from parts (a), (b), and (c) to sketch the
graph. Check your work with a graphing device if you have one.
f(x)=x(sqr x-6)

5- For f ( x ) = − x 3 + 7 x 2 − 15 x
a) Find the intervals on which f is
increasing or decreasing. Find the local (or absolute) maximum and
minimum values of f.
b) Find the intervals of concavity and the inflection
points.

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