   Chapter 3.1, Problem 60E

Chapter
Section
Textbook Problem

# (a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places.(b) Use calculus to find the exact maximum and minimum values. f ( x ) = x 4 − 3 x 3 + 3 x 2 − x ,    0 ≤ x ≤ 2

To determine

Part (a):

To estimate:

The absolute maximum and minimum values of f(x) to two decimal places on the given interval by using the graph.

Explanation

1) Concept:

By using the graphing device, draw the graph of f(x) in the given interval. Then estimate the absolute maximum and minimum values by moving the cursor close to the maximum and minimum point on that graph.

2) Given:

fx=x4-3x3+3x2-x, 0x2

3) Calculation:

Graph:

To determine

Part (b):

To find:

The exact maximum and minimum values of f(x) using calculus on the given interval

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 