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Calculus: Early Transcendentals | 9th Edition | ISBN: 9781337613927 | Authors: Daniel K. Clegg, Saleem Watson, James Stewart
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?Find the derivative of the function using the definition of derivative. State the

Chapter 2, Problem 21

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QUESTION:

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.

\(f(x)=3 x-8\)

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QUESTION:

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.

\(f(x)=3 x-8\)

ANSWER:

Step 1 of 4

Consider the following function:

\(f\left( x \right) = 3x – 8\)

The objective is to find the derivative of the function using the definition of derivative. Also, state the domain of the function and its derivative.

Step 2 of 4

Definition of Derivative:

The derivative of the function f with respect to x is the function f’ defined by the following rule,

\(f'\left( x \right) = \mathop {\lim }\limits_{h \to 0} \frac{{f\left( {

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