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
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).
Find the absolute maximum and the absolute minimum of
the function f(x,y) = 6 - x² - y² over the region R = {(x,y) | -2
<= x <= 2, -1 <= y <= 1 }. Also mention the points at
which the maximum and minimum will occur.
Find the absolute maximum and minimum values of f on the set D.
Also note the point(s) where these absolute maximum and minimum
values are located. f(x, y) = 9x^2 + 36x^2 y - 4y - 1 D is the
region described as follows: D = { (x,y) | -2 < x < 3; -1
< y < 4}