BuyFind

Single Variable Calculus: Concepts...

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

Single Variable Calculus: Concepts...

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

Solutions

Chapter 4, Problem 21RE
To determine

To find: The x coordinate of the maximum and minimum points.

Expert Solution

Answer to Problem 21RE

The x coordinate of the maximum and minimum points are x=3,3 and x=1.6,1.6 .

Explanation of Solution

Given information:

The function is f(x)=cos2xx2+x+1 .

Calculation:

Consider the equation.

  f(x)=cos2xx2+x+1

The graph f(x) is shown figure-1

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 4, Problem 21RE , additional homework tip  1

Figure-1

The graph f(x) is shown figure-2

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 4, Problem 21RE , additional homework tip  2

Figure-2

The graph f(x) is shown figure-3

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 4, Problem 21RE , additional homework tip  3

Figure-3

The function has maximum value at x=3,3 and function has minimum value at x=1.6,1.6 and the inflection points for f(x) are x=2.2,0.8,0.5,2.2

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