# the average rate of change of function between the given values of the variable

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.4, Problem 15E
To determine

## To find : the average rate of change of function between the given values of the variable

Expert Solution

The average rate of change of function is 12+3h .

### Explanation of Solution

Given information:

A function is f(x)=3x2;x=2,x=2+h

Formula used :

The average rate of change of function f(x2)f(x1)x2x1 .

Calculation : The function is f(x)=3x2 for x=2,x=2+h

Put the values of x1 and x2 into the formula

f(2+h)f(2)(2+h)(2)[3(2+h)2]3(2)2h3(4+4h+h2)3(4)h12+12h+3h212h12h+3h2hh(12+3h)h12+3h

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