   Chapter 6.3, Problem 7SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 7 and 8, find the absolute maximum of f on the interval. f ( x ) = − x 2 + 6 x + 9 , [ 0 , 4 ]

To determine

To calculate: The absolute maxima of f(x)=x2+6x+9 in the interval [0,4].

Explanation

Given Information:

The given function is f(x)=x2+6x+9.

Formula used:

The derivative of the polynomial is as:

dydx=nxn1

A function is said to be maximum or minimum if the derivative of that function is zero at any point in its domain.

f(x)=0

Calculation:

Consider the provided expression:

f(x)=x2+6x+9

Differentiate the above expression.

f(x)=2x+6

Equate it to zero.

2x+6=0x=3

Now, obtain the value at the end points and at the point where function is zero

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