Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 2: Q. 30 (page 166)

Sketch a graph of the associated slope function f' for each function f.

Short Answer

Expert verified

The graph of slope function is:

Step by step solution

Step 1. Given Information

We are given the graph of a function $f$ and we need to find its associated slope function $f'$ .

Step 2. Finding the slope function

A good place to begin is by marking all the locations on the graph of f where the tangent line is horizontal and thus has slope $0$ . Thus the associated slope function f' is:

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Prove that if f is any cubic polynomial function $f (x) = a x^{3} + b x^{2} + c x + d$ then the coefficients of f are completely determined by the values of f(x) and its derivative at x=0 as follows

$a = \frac{f "' (0)}{6}; b = \frac{f " (0)}{2}; c = f' (0); d = f (0)$

Find a function that has the given derivative and value. In each case you can find the answer with an educated guess and check process it may be helpful to do some preliminary algebra

$f' (x) = 1 - 4 x^{6}; f (1) = 3$

Stuart left his house at noon and walked north on Pine Street for $20$ minutes. At that point he realized he was late for an appointment at the dentist, whose office was located south of Stuart’s house on Pine Street; fearing he would be late, Stuart sprinted south on Pine Street, past his house, and on to the dentist’s office. When he got there, he found the office closed for lunch; he was $10$ minutes early for his $12 : 40$ appointment. Stuart waited at the office for $10$ minutes and then found out that his appointment was actually for the next day, so he walked back to his house. Sketch a graph that describes Stuart’s position over time. Then sketch a graph that describes Stuart’s velocity over time.

Find the derivative of the absolute value function and piecewise defined function

$f (x) = \{\begin{cases} 3 x + 1 & i f x \leq 1 \\ x^{3} & i f x > 1 \end{cases}$

Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Sketch a graph of the associated slope function f' for each function f.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Pure Maths

Decision Maths

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Company

Product

Help