Question

Let f(x)=6x^2−2x^4. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).

1. |
f is increasing on the intervals | |

2. |
f is decreasing on the intervals | |

3. |
The relative maxima of f occur at x = | |

4. |
The relative minima of f occur at x = |

Answer #1

For the function f(x)=x^3+5x^2-8x , determine the intervals
where the function is increasing and decreasing and also find any
relative maxima and/or minima. Increasing ____________________
Decreasing ___________________ Relative Maxima _______________
Relative Minima _______________

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

5. Find the open intervals on which f(x) =x^3−6x^2−36x+ 2 is
increasing, as well as the open intervals on which f(x) is
decreasing.
- How do you know when the function is increasing or decreasing?
Please show all work.
6. Find the open interval on which f(x) =x^3−6x^2−36x+ 2 has
upward concavity, as well as the open intervals on which f(x) has
downward con-cavity.
- How do you know if a function has an upward concavity or
downward concavity? Please...

given function f(x)=-x^3+5x^2-3x+2
A) Determine the intervals where F(x) Is increasing and
decreasing
b) use your answer from a to determine any relative maxima or
minima of the function
c) Find that intervals where f(x) is concave up and concave
down and any points of inflection

Find all critical numbers, the open intervals on which f(x) is
increasing or decreasing, and locate and classify all relative
extrema.
f (x) = x3- 13/2
x2- 10x + 7
and
f (x)= x1/3 (x-4)

consider the function f(x) = x/1-x^2
(a) Find the open intervals on which f is increasing or
decreasing. Determine any local minimum and maximum values of the
function. Hint: f'(x) = x^2+1/(x^2-1)^2.
(b) Find the open intervals on which the graph of f is concave
upward or concave downward. Determine any inflection points. Hint
f''(x) = -(2x(x^2+3))/(x^2-1)^3.

Find the open intervals on which f(x)=x^4 + 8x^3 is increasing
or decreasing.

Let f(x)=〖2x〗^3-6x^2-18x+2
Find the interval(s) on which f is increasing and the interval
(s) on which f is decreasing.

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. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is
concave up (down). Then determine the ?-coordinates of all
inflection points of ?.
2. Find the x-values of all inflection points for the graph
?(?)=2?4+18?3−30?2+15f(x)=2x4+18x3−30x2+15. (Give your answers as a
comma separated list, e.g., 3,-2.)
3. Let f(x)=1/4x2+7. Find the open intervals on which ?f is
concave up (down). Then determine the ?x-coordinates of all
inflection points of ?.
4. Let ?(?)=6?−3/?+4 Find the open intervals on which ?f...

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