Question

. 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 =

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
-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^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]

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) =

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

Let f(x)=4+12x−x^3. Find (a) the intervals on which ff is
increasing, (b) the intervals on which ff is decreasing, (c) the
open intervals on which ff is concave up, (d) the open intervals on
which f is concave down, and (e) the x-coordinates of all
inflection points.
(a) f is increasing on the interval(s) =
(b) f is decreasing on the interval(s) =
(c) f is concave up on the open interval(s) =
(d) f is concave down on the...

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

Consider the graph y=6x^(1/5)+x^(6/5)
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

For the questions below, consider the following function.
f (x) = 3x^4 - 8x^3 + 6x^2
(a) Find the critical point(s) of f.
(b) Determine the intervals on which f is increasing or
decreasing.
(c) Determine the intervals on which f is concave up or concave
down.
(d) Determine whether each critical point is a local maximum, a
local minimum, or neither.

f(x)= x−cos(x) on the interval [0,2π]
a. Find the Y intercept
b. Is it increasing or decreasing
c. what are the crit points and local minimums and
maximums
d. is it concave up or down
e. what are the inflection points

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