   Chapter 2.8, Problem 16E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Make a careful sketch of the graph if .f and below it sketch the graph of f' in the same manner as in Exercises 4-11. Can you guess a formula for f'(x) from its graph?f(x) = sin x

To determine

To sketch: The graph of f(x) and then f(x) below it and guess the formula for f(x).

Explanation

The given function is f(x)=sinx.

Recall the fact that, the derivative of a function at x=a is zero if the function has horizontal tangent at the point x=a.

From the graph, it is observed that the graph has a horizontal tangent at three points. Let the points be A, B, C and D. At these points, the derivative will be zero.

The AB section of the graph has negative slope which implies that the derivative will be negative in the section.

The BC section of the graph has positive slope which implies that the derivative will be positive in the section.

The CD section of the graph has negative slope which implies that the derivative will be negative in the section

### 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

#### Find more solutions based on key concepts 