The absolute maximum values of f(x)=x^3-3x^2+12 on the closed
interval [−2, 4] occurs at x =
The absolute maximum values of f(x)=x^3-3x^2+12 on the closed
interval [−2, 4] occurs at x =
Solutions
Expert Solution
At first we find out all possible critical points of the given
function on the given close interval [-2,4]. Then we find out the
absolute maximum value of the given function.
1) Find the exact absolute max and exact min for
f(x)=x^3-3x^2-6x+4 on the closed interval [0,3]
2) Let f be continuously differentiable function on the Reals
with the following characteristics:
- f(x) is increasing from intervals (0,2) and (4,5) and
decreasing everywhere else
- f(x) > -1 on the interval (1,3) and f(x) < -1 everywhere
else
Suppose g(x) = 2f(x) + (f(x))^2. On which interval(s) is g(x)
increasing?
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 5x + 8, [0, 3]
absolute minimum value
absolute maximum value
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = 4x3 −
6x2 − 144x +
5,
[−4, 5]
absolute minimum
absolute maximum
f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3]
The absolute maximum value is ____ at x = ___
(Use comma to separate answers as needed. Round to two
decimal places as needed)
The absolute minimum value is ____ at x = ___
(Use comma to separate answers as needed. Round to two
decimal places as needed)
1. Find the derivative.
f(x) = x6 ·
3x
2. Find the absolute maximum and
minimum values on the closed interval [-1,8] for the function
below. If a maximum or minimum value does not exist, enter
NONE.
f(x) = 1 − x2/3
3. Find the derivative.
f(x) = x5 ·
e6x
Consider the following.
f(x) = -19ln(84x)
Compute f '(x), then find the exact value of
f ' (3).
1. Determine the absolute minimum and maximum values of the
function f(x) = x^3 - 6x^2 + 9x + 1 in the following
intervals:
a) [0,5]
b) [-1,2]
2. A company produces and sells x number of calculators per
week. The functions for demand and cost are the following:
p = 500 - 0.5x and c(x) = 10,000 + 135x.
Determine:
a) Function of weekly revenue
b) Price and number of calculators that have to be sold to
maximize revenue...