Question

Let f(x) = 3x^5/5 −2x^4+1 Find the following

-Interval of increasing

-Interval of decreasing

-Local maximum(s) at x =

-Local minimum(s) at x =

-Interval of concave up

-Interval of concave down

-Inflection point(s) at x =

Answer #1

Let f(x) = 3x^5/5 −2x^4+1 Find the following
-Interval of increasing
-Interval of decreasing
-Local maximum(s) at x =
-Local minimum(s) at x =
-Interval of concave up
-Interval of concave down
-Inflection point(s) at x =

. Let f(x) = 3x^5/5 −2x^4+1. Find the following:
(a) Interval of increasing:
(b) Interval of decreasing:
(c) Local maximum(s) at x =
d) Local minimum(s) at x =
(e) Interval of concave up:
(f) Interval of concave down:
(g) Inflection point(s) at x =

1. The critical point(s) of the function
2. The interval(s) of increasing and decreasing
3. The local extrema
4. The interval(s) of concave up and concave down
5. The inflection point(s).
f(x) = (x^2 − 2x + 2)e^x

Let f (x) = 3x^4 −4x^3 −12x^2 + 1, deﬁned on R.
(a) Find the intervals where f is increasing, and decreasing.
(b) Find the intervals where f is concave up, and concave
down.
(c) Find the local maxima, the local minima, and the points of
inflection.
(d) Find the Maximum and Minimum Absolute of f over [−2.3]

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) =

Find the following and graph for
f(x)=16x(x-1)^3
f '(x)=
f ''(x)=
C.V.=
increasing:
decreasing;
Point of inflection:
Concave up and down:
Domain
Local max and min:

Consider the graph y=x^3+3x^2-24x+10
Determine:
a) interval(s) on which it is increasing
b) interval(s) on which it is decreasing
c) any local maxima or minima
d) interval(s) on which it is concave up
e) interval(s) on which it is concave down
f) any point(s) of inflection

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:...

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

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