   Chapter 2.7, Problem 31E ### 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 f'(a).f(x) = 3x2 – 4x + 1

To determine

To find: The derivative of the function f(x)=3x24x+1 at x=a.

Explanation

Formula used:

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

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

Calculation:

Obtain the derivative of the function f(x) at x=a.

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

f(a)=limh0f(a+h)f(a)h=limh0(3(a+h)24(a+h)+1)(3a24a+1)h=limh0(3(a2+h2+2ah)4a4h+1)(3a24a+1)h=limh03

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