Homework Help is Here – Start Your Trial Now!
Math
Calculus
In Exercises 1-4, use the definition S'(a) = lim a + h) – f(a) h h40 to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x2 + 4, a 1 3. f(x) = 3 - x², a-1 4. f(x) = x + x, a = 0

In Exercises 1-4, use the definition S'(a) = lim a + h) – f(a) h h40 to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x2 + 4, a 1 3. f(x) = 3 - x², a-1 4. f(x) = x + x, a = 0

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
In Exercises 1-4, use the definition f'(a) = lim la + h) – f(a) h to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x? + 4, a = 1 3. f(x) = 3 – x2, a = -1 In Exercises 5-8, use the definition 4. f(x) = x3 + x, a = 0 %3D f(x) – f(a} x - a f'(a) = lim to find the derivative of the given function at the indicated 5. f(x) = 1/x, a = 2 6. f(x) = x2 + 4, a = 1 %3D 7. f(x) = Vx + 1, a = 3 8. f(x) = 2x + 3, a = -1
Transcribed Image Text:In Exercises 1-4, use the definition f'(a) = lim la + h) – f(a) h to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x? + 4, a = 1 3. f(x) = 3 – x2, a = -1 In Exercises 5-8, use the definition 4. f(x) = x3 + x, a = 0 %3D f(x) – f(a} x - a f'(a) = lim to find the derivative of the given function at the indicated 5. f(x) = 1/x, a = 2 6. f(x) = x2 + 4, a = 1 %3D 7. f(x) = Vx + 1, a = 3 8. f(x) = 2x + 3, a = -1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

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