Chapter 2.1, Problem 38E

### Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636

Chapter
Section

### Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636
Textbook Problem

# Each limit represents the derivative of some function f at some number a. State such an f and a in each case.38. lim h → 0 2 3 + h − 8 h

To determine

To state: The function f(x) and the number a.

Explanation

Given:

The derivative of a function f at a number a is fâ€²(a)=limhâ†’023+hâˆ’8h.

Formula used:

The derivative of a function f at a number a, denoted by fâ€²(a) is,

fâ€²(a)=limhâ†’0f(a+h)âˆ’f(a)h (1)

Calculation:

Obtain the function f(x) and the number a.

Consider the given function fâ€²(a),

fâ€²(a)=limhâ†’023+hâˆ’23h=limhâ†’

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