BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 2, Problem 68RE
To determine

Find the maximum value of the function is f(x)=1xx2

Expert Solution

Answer to Problem 68RE

The maximum value of f(x)=1xx2 is 12

Explanation of Solution

Given information: Consider the function is f(x)=1xx2

Calculation:

This is quadratic equation with a=1,b=1

Thus, the maximum or minimum value occurs at

  x=b2a=(1)2(1)=12

Since a>0 , the function has the maximum value

  f(12)=(12)2(12)+1=14+12+1=24=12

Thus, the maximum value of f(x)=1xx2 is 12

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