Chapter 2.2, Problem 24E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

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

To determine

**To find**: the derivative of the function by using the definition of derivative. State the domain of function and domain of derivative of its function.

Explanation

Definition of derivative is

Here

Therefore,

By using this values in the formula

To rationalise the numerator, multiply numerator and denominator by

By using the identity (a – b)(a + b) = a^{2} – b^{2}, numerator becomes

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