   Chapter 2.7, Problem 37E ### 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

# Each limit represents the derivative of some function f at some number a. State such an f and a in each case. lim h → 0 9 + h − 3 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 f(a)=limh09+h3h.

Formula used:

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

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

Calculation:

Obtain the function f(x) and a.

Consider the given function f(a),

f(a)=limh09+h3h=limh09+h9h=limh

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