# The difference quotient for the given function.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.1, Problem 27E
To determine

## To find: The difference quotient for the given function.

Expert Solution

The answerof the function is 1ax

### Explanation of Solution

Given information:

The given function is,

f(x)=1x

Andthisevaluation of the quotient is f(x)f(a)xa for the function.

Concept used:

To represent the function:

A function f is a rule that assigns to each element x in a set D exactly one element called f(x) in a set E

The given function is

f(x)=1x

And evaluate this f(x)f(a)xa for the function.

Now we calculate f(a) for x in the given function f(x)=1x ,

f(a)=1a

And f(x)=1x

All values of f(a) and f(x) stand in f(x)f(a)xa

f(x)f(a)xa=1x1axa=axaxxa=axax×1xa=1ax

Therefore,the answer of the function is 1ax .

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