Question

3 parts

following these instructions

Find the critical numbers for f and the open intervals on which f is increasing (decreasing)

For the first question, your answer should be a comma-separated list of x values or the word "none". For the other two, your answer should either be a single interval, such as (0,1), a comma-separated list of intervals, such as (-inf, 2), (3,4), or the word "none".

answeres needed for each

1. |
The critical numbers for f are | |

2. |
f is increasing on the intervals | |

3. |
f is decreasing on the intervals |

part 1)

f(x)=8x+(6/x)

part 2)

f(x)= 6-(3/x)+(12/x^2)

part 3)

xe^(-4x)

Answer #1

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...

For the function f(x)=−3x^3+36x+6
(a) Find all intervals where the function is
increasing.
Answer: ff is increasing on=
(b) Find all intervals where the function is
decreasing.
Answer: ff is decreasing on=
(c) Find all critical points of f(x)
Answer: critical points: x=
Instructions:
For parts (a) and (b), give your
answer as an interval or a union of intervals, such as
(-infinity,8] or (1,5) U
(7,10) .
For part (c), enter your xx-values as a
comma-separated list, or none...

f(x)=8x^3-18x^2-24x+8 Find the critical numbers List any
intervals on the function in which it is increasing. List any
intervals on the function in which it is decreasing.

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)

3 parts use these answers/rules
Find the relative extrema of the function Specifically:
The relative maxima of f occur at x =
The relative minima of f occur at x =
The value of f at its relative minimum is
the value of f at its relative maximum is
Notes: Your answer should be a comma-separated list of values or
the word "none".
part 1)
f(x)=x^2+6x+5
part 2)
f(x)= x^3-18x+5
part 3)
f(x)=8x^4−4x^2+8

For the function below, find (a) the critical numbers; (b)
the open intervals where the function is increasing; and (c) the
open intervals where it is decreasing. f(x)=x+7/x+1

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

Givenf(x)=x3−6x2+15
(a) Find the critical numbers of f.
(b) Find the open intervals on which the function is increasing
or decreasing.
(c) Apply the First Derivative Test to identify all relative
extrema (that is, all relative minimums and maximums).

f(x)= x^4-2x^2-3. Using the first derivative test, find:
a. All critical Numbers
b. Intervals on which f(x) is increasing or decreasing
c. location and value of all relative extrema

1. Consider the following.
h(x)=x 3sqrt(x-5)
Find the critical numbers. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
x =
Find the open intervals on which the function is increasing or
decreasing. Use a graphing utility to verify your results. (Enter
your answers using interval notation. If an answer does not exist,
enter DNE.)
increasing:
decreasing:
2. Compare the values of dy and Δy for the
function. (Round your answers to four decimal...

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