Question

Consider the function f(x) = x^3 − 2x^2 − 4x + 7 on the interval [−1, 3]. a) Evaluate the function at the critical values. (smaller x-value) b) Find the absolute maxima for f(x) on the interval [−1, 3].

Answer #1

Consider the function f(x) = x3 − 2x2 − 4x + 9 on the interval
[−1, 3].
Find f '(x). f '(x) = 3x2−4x−4
Find the critical values. x =
Evaluate the function at critical values. (x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Evaluate the function at the endpoints of the given
interval.
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Find the absolute maxima and minima for f(x) on the interval
[−1, 3].
absolute...

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

Find the absolute maximum and minimum values of f(x)=
−x^3−3x^2+4x+3, if any, over the interval
(−∞,+∞)(−∞,+∞).
I know it doesn't have absolute maxima and minima but where do
they occur? In other words x= ? for the maxima and minima?

.Find the maximum and minimum values of the function
F(x)=2x/(1+〖4x〗^2 )

Find the absolute maximum and minimum values of the function
f(x) = x^4-2x^2+1 on the interval [0,3]

Consider the function f(x)=6x^2−4x+11, on the interval
, 0≤x≤10.
The absolute maximum of f(x) on the given interval is at x =
The absolute minimum of f(x) on the given interval is at x =

Which value of c satisfies the conclusion of the MVT for the
function f(x)=4x^2+6x-7 on the interval [3,4]?
Find the absolute maximum value and the absolute minimum value
of the function f(x)=e^sin(x) on the interval [0,2pi]. Express the
answer in terms of the natural number e.

question #1: Consider the following function.
f(x) =
16 − x2,
x ≤ 0
−7x,
x > 0
(a) Find the critical numbers of f. (Enter your answers
as a comma-separated list.)
x =
(b) Find the open intervals on which the function is increasing or
decreasing. (Enter your answers using interval notation. If an
answer does not exist, enter DNE.)
increasing
decreasing
question#2:
Consider the following function.
f(x) =
2x + 1,
x ≤ −1
x2 − 2,
x...

1. Let f(x)=x^2−4x+3/x^2+2X-3 Calculate lim x→1 f(x)
by first finding a continuous function which is equal to ff
everywhere except x=1 .
2. Use the chain rule to find the derivative of the following
function 5(−2x^3−9x^8)^12

Find the local maxima and minima values for the function f(x)=
e^(x^5-x^4-2x^3+x^2-1)

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