4. Using the definition of the derivative, find f'(x) for each function f(x). State the domain of the functions f(x) and f'(x). a. f(x) = 2-3x b. ƒ(x) = 1⁄2x² +1 c. f(x)=√4-x

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...
Question

Thank you!

4. Using the definition of the derivative, find f'(x) for each function f(x). State the domain of the functions f(x) and
f'(x).
a. f(x) = 2 - 3x
b. f(z) = 2² +1
c. f(x) = √4x
Transcribed Image Text:4. Using the definition of the derivative, find f'(x) for each function f(x). State the domain of the functions f(x) and f'(x). a. f(x) = 2 - 3x b. f(z) = 2² +1 c. f(x) = √4x
Expert Solution
Step 1

Since you have asked multiple question, we will solve the first question for you as per our guide line. If youwant any specific question to be solved then please specify thequestion number or post only that question.

Given query is to find the derivative using definition and the domain.

steps

Step by step

Solved in 2 steps with 1 images

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