a. Answer The domain of function is R . Explanation Given information: The function is f ( x ) = { x 3 − 2 x , x ≤ 2 x + 2 , x > 2 } . Calculation: to function is defined for each value of x , so the domain of the function is R . b. To determine To find: the formula for f ' ( x ) Answer The value of f ' ( x ) is { 3 x 2 − 2 , x ≤ 2 2 , x > 2 } . Explanation Given information: The function is f ( x ) = { x 3 − 2 x , x ≤ 2 x + 2 , x > 2 } . Calculation: to find the f ' ( x ) , differentiate the function , f ( x ) = { x 3 − 2 x , x ≤ 2 x + 2 , x > 2 } f ' ( x ) = { 3 x 2 − 2 , x ≤ 2 2 , x > 2 } [differentiate] Thus, the value of f ' ( x ) is { 3 x 2 − 2 , x ≤ 2 2 , x > 2 } .

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 5.1, Problem 12QR

To determine

To find: the domain of the function.

Expert Solution

Answer to Problem 12QR

The domain of function is R .

Explanation of Solution

Given information:

The function is f(x)={x3−2x, x≤2x+2, x>2} .

Calculation: to function is defined for each value of x , so the domain of the function is R .

To determine

To find: the formula for f'(x)

Expert Solution

Answer to Problem 12QR

The value of f'(x) is {3x2−2, x≤22, x>2} .

Explanation of Solution

Given information:

The function is f(x)={x3−2x, x≤2x+2, x>2} .

Calculation: to find the f'(x) , differentiate the function ,

f(x)={x3−2x, x≤2x+2, x>2}f'(x)={3x2−2, x≤22, x>2} [differentiate]

Thus, the value of f'(x) is {3x2−2, x≤22, x>2} .

Chapter 5.1, Problem 11QR

Chapter 5.1, Problem 1E

Chapter 5 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 5.1 - Prob. 1QR Ch. 5.1 - Prob. 2QR Ch. 5.1 - Prob. 3QR Ch. 5.1 - Prob. 4QR Ch. 5.1 - Prob. 5QR Ch. 5.1 - Prob. 6QR Ch. 5.1 - Prob. 7QR Ch. 5.1 - Prob. 8QR Ch. 5.1 - Prob. 9QR Ch. 5.1 - Prob. 10QR

Ch. 5.1 - Prob. 11QR Ch. 5.1 - Prob. 12QR Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - 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