   Chapter 2.8, Problem 24E ### 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) = 4 + 8x – 5x2

To determine

To find: The derivative of the function f(x)=4+8x5x2 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(4+8(x+h)5(x+h)2)(4+8x5x2)h=limh0(4+8x+8h5(x2+h2+2xh))(4+8x5x2)h=limh04+8x+8h5x25h210xh

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 