   Chapter 2.8, Problem 21E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.f(x) = 3x – 8

To determine

To find: The derivative of the function f(x)=3x8 and state the domain of the function and its derivative.

Explanation

Formula used:

The derivative of a function f , denoted by f(x), is

f(x)=limh0f(x+h)f(x)h (1)

Calculation:

Obtain the derivative of the function f(x).

Compute f(x) by using the equation (1).

f(x)=limh0f(x+h)f(x)h=limh0(3(x+h)8)(3x8)h=limh03x+3hȡ

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Study Guide for Stewart's Multivariable Calculus, 8th 