To determine To calculate: f ″ ( x ) , f ″ ( 0 ) , f ″ ( 2 ) and f ″ ( − 3 ) , for the given function − x 2 3 . Explanation Given: The function is − x 2 3 . Formula used: If the given function is f ( x ) , then f ′ ( x ) represents the first derivative of the function f ( x ) . Similarly, the derivative f ″ ( x ) of the function f ′ ( x ) represents the second derivative of the given function f ( x ) . and If f ( x ) = x n then; f ′ ( x ) = n x n − 1 Calculation: Write the given function and evaluate f ″ ( x ) . f ( x ) = − x 2 3 Do first derivative of the function. f ′ ( x ) = − 2 3 x − 1 3 Do second derivative of the function. f ″ ( x ) = ( − 2 3 ) ( − 1 3 ) x − 1 3 + ( − 1 ) = 2 9 x 4 3 Substitute 0 for x and evaluate f ″ ( 0 )

MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE

11th Edition

ISBN: 9781323751671

Author: Lial

Publisher: PEARSON C

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Chapter 12.2, Problem 11E

To determine

To calculate: f″(x),f″(0),f″(2) and f″(−3), for the given function −x23.

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Chapter 12.2, Problem 10E

Chapter 12.2, Problem 12E

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MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE

Ch. 12.1 - Checkpoint 1 For what values of x is the function...Ch. 12.1 - Checkpoint 2 Find all intervals on which is...Ch. 12.1 - Checkpoint 3 Identity the x-values of all points...Ch. 12.1 - Checkpoint 4 Find the critical numbers for each of...Ch. 12.1 - Prob. 5CP Ch. 12.1 - Prob. 6CP Ch. 12.1 - Checkpoint 7 Find the locations of the local...Ch. 12.1 - Prob. 8CP Ch. 12.1 - Checkpoint 9 If a sales function is given by...Ch. 12.1 - Prob. 1E

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