Homework Help is Here – Start Your Trial Now!
Math
Calculus
1 8. f(x) = 2x

1 8. f(x) = 2x

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

Question 8

Level 1 DRILL PROBLEMS Mix and match the graphs in Problems 23 to 28 with the Use the definition of a derivative to find f'(x) for the func- graphs labeled (A) to (F), which are the derivative graphs. tions in Problems 1 to 8. 23. 24. 1. f(x) = 8 2. f(x) — Зх - 2 3. f(x) = -x? 4. f(x) — х + х? 7.5 2- 5. f(x) — х4 6. f(x) — х3 — х - -4 4 X 2.5 1 7. f(x): 1 8. f(x): -2 X 2x -2 -1 1 2 x -4 Use the derivatives found in Problems 1 to 8 to find the values requested in Problems 9 to 16. -2.5 -5- dy 9. dx lx=-2 where y = 8 25. 26. dy 10. dx \x=-2 where y = 3x – 2 "YA 2- YA dy 11. dx \x=4 where y = -x² X -2- dy 12. dx \x=4 -2m where y = x +x² dy 13. dx \x=2 2 where y = x -2- -2- -4 dy 14. dx \x=2 where y = x3 – x X dy 15. dx \x=10 1 where y = 27. 28. YA 8. 8. 16. d dx \x=10 1 where y 2x 4 4 Find at what point the slope of the instantaneous rate of change equals the average rate of change over the specified intervals in Problems 17 to 22. Also, provide -4 -2 2 4 x -3 1 -4 -4 2. 4-
Transcribed Image Text:Level 1 DRILL PROBLEMS Mix and match the graphs in Problems 23 to 28 with the Use the definition of a derivative to find f'(x) for the func- graphs labeled (A) to (F), which are the derivative graphs. tions in Problems 1 to 8. 23. 24. 1. f(x) = 8 2. f(x) — Зх - 2 3. f(x) = -x? 4. f(x) — х + х? 7.5 2- 5. f(x) — х4 6. f(x) — х3 — х - -4 4 X 2.5 1 7. f(x): 1 8. f(x): -2 X 2x -2 -1 1 2 x -4 Use the derivatives found in Problems 1 to 8 to find the values requested in Problems 9 to 16. -2.5 -5- dy 9. dx lx=-2 where y = 8 25. 26. dy 10. dx \x=-2 where y = 3x – 2 "YA 2- YA dy 11. dx \x=4 where y = -x² X -2- dy 12. dx \x=4 -2m where y = x +x² dy 13. dx \x=2 2 where y = x -2- -2- -4 dy 14. dx \x=2 where y = x3 – x X dy 15. dx \x=10 1 where y = 27. 28. YA 8. 8. 16. d dx \x=10 1 where y 2x 4 4 Find at what point the slope of the instantaneous rate of change equals the average rate of change over the specified intervals in Problems 17 to 22. Also, provide -4 -2 2 4 x -3 1 -4 -4 2. 4-
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS