Question

Identify the absolute and relative maximum and minimum of
*f* (*x*) = 2*x*^{3} –
3*x*^{2} – 36*x* + 40

on [-3, 4]

Answer #1

Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = 4x3 −
12x2 − 36x +
6,
[−2, 4]

Find the absolute maximum and absolute minimum values of
f(x)=x3+3x2−9x+1 on [-5,-1] , along with
where they occur.
The absolute maximum value is ? and occurs when x is ?
the absolute minimum value is ? and occurs when x is ?

Find the absolute maximum and minimum values of f on
the set D.
f(x, y) =
4x + 6y −
x2 − y2 +
8,
D = {(x,
y) | 0 ≤ x ≤ 4, 0 ≤
y ≤ 5}
Find the absolute maximum and minimum values of f on
the set D.
f(x, y) = 2x3 + y4 +
2, D = {(x, y) | x2 +
y2 ≤ 1}

Find the intervals where f(x) = 2x3 + 3x2
- 36x + 7 is increasing, decreasing, concave up, concave down, and
the inflection points.

Given that f(x) = 2x3-3x2-72x,
determine which x-values correspond to local minimums.
1) Local minimum at x = -3
2) Local minimum at x = 4
3) Local minimum at x = -3 and x = 4
4) None

Let f (x) = 2x3 + 3x2 −12x + 6.
(1) Find the intervals of increase or decrease.
(2) Find the local maximum and minimum values.
(3) Find the intervals of concavity and the inflection points.
(d) Use the information from parts (a)-(c) to sketch the graph

Find the absolute maximum and minimum values of f on
the set D.
f(x, y) =
4x + 6y −
x2 − y2 +
3,
D = {(x,
y) | 0 ≤ x ≤ 4, 0 ≤
y ≤ 5}
absolute maximum value
absolute minimum value

Find the absolute maximum and absolute minimum values of f on
the given interval. f(x) = x4 − 2x2 + 1, [−2, 3] absolute minimum
Incorrect: Your answer is incorrect. absolute maximum Incorrect:
Your answer is incorrect.

Find the absolute maximum and absolute minimum of the
function
f(x) = x 3 − 6x 2 + 5
on interval [3, 6]
This problem is from chapter 4 of calculus early
transcendentals

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

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