In Exercises 5-8, use the definition f'(a) = lim x→a f(x) = f(a) to find the derivative of the given function at the given value of a. 6. f(x) = x² + 4, a = 1 8. f(x) = 2x + 3, a = = −1 = 1/x, a = 7. f(x) = √x + 1, a = 3 9. Find f(x) if f(x)= 3x - 12. 10. Find dy/dx if v = 7 2 x - a
In Exercises 5-8, use the definition f'(a) = lim x→a f(x) = f(a) to find the derivative of the given function at the given value of a. 6. f(x) = x² + 4, a = 1 8. f(x) = 2x + 3, a = = −1 = 1/x, a = 7. f(x) = √x + 1, a = 3 9. Find f(x) if f(x)= 3x - 12. 10. Find dy/dx if v = 7 2 x - a
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...
Related questions
Question
100%
![In Exercises 5-8, use the definition
ƒ'(a) = lim
x→a
f(x) = f(a)
а
to find the derivative of the given function at the given value of a.
5 f(x) = 1/x, a = 2
6. f(x) x² + 4, a = 1
7. f(x) = √x + 1, a = 3
8. f(x) = = 2x + 3, a = -1
9. Find f(x) if f(x) = 3x - 12.
10. Find dy/dx if y=7x.
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e635601-9da2-4fe2-987c-7194620410e8%2Faa8b7cf5-343f-41e2-9af2-c7245de8a31f%2F7w0sgra_processed.png&w=3840&q=75)
Transcribed Image Text:In Exercises 5-8, use the definition
ƒ'(a) = lim
x→a
f(x) = f(a)
а
to find the derivative of the given function at the given value of a.
5 f(x) = 1/x, a = 2
6. f(x) x² + 4, a = 1
7. f(x) = √x + 1, a = 3
8. f(x) = = 2x + 3, a = -1
9. Find f(x) if f(x) = 3x - 12.
10. Find dy/dx if y=7x.
X
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning