Question

(1 point) The function f(x)=−2x^3+21x^2−36x+11 has one local minimum and one local maximum.

This function has a local minimum at x equals ______with value _______and a local maximum at x equals_______ with value_______

Answer #1

The function f(x)=9x-2x^(-1) has one local minimum and one local
maximum. The function has a local maximun at x=? with value ?. The
function has a local minimum at x=? with value ?

(1 point) The function f(x)=3x+5x^−1 has one local minimum and
one local maximum.
This function has a local maximum at x= _____with value______
and a local minimum at x= ______with value_____

1) The function f(x)=2x3−33x2+108x+3f(x)=2x3-33x2+108x+3 has one
local minimum and one local maximum. Use a graph of the function to
estimate these local extrema.
This function has a local minimum at x
= with output value =
and a local maximum at x = with output
value =
2) The function f(x)=2x3−24x2+42x+7 has one local minimum and
one local maximum. Use a graph of the function to estimate these
local extrema.
This function has a local minimum at x
= with output value =...

For the function , (1)/(3)x^(3)-3x^(2)+8x+11
1)at x=, f(x) attains a local maximum value of
f(x)
2)at x=, f(x) attains a local minimum value of f(x)

The function f(x)=2x3−36x2+120x+8f(x)=2x3-36x2+120x+8 has one
local minimum and one local maximum.
This function has a local minimum at x =
with function value
and a local maximum at x =
with function value

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

Find the critical point of the function g(x)=ln(x^(2)+2x+3).
Then determine whether the critical point is a local minimum or
local maximum.

(1 point) Consider the function f(x)=2−5x^2,−4≤x≤2
The absolute maximum value is
and this occurs at x equals
The absolute minimum value is
and this occurs at x equals

1) Find the absolute maximum value and the absolute
minimum, if any, of the given function. f(x) = 2x 3 − 3x 2 − 36x +
5 on [−1, 4]
2) A manufacturer of a certain commodity has estimated
that her profit in thousands of dollars is given by the expression
−2x 2 + 14x−6 where x (in thousands) is the number of units
produced. What is the maximum profit the manufacturer could realize
on the commodity?

the function f given by f(x)=2x^3-3x^2-12x has a relative
minimum at x=

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