Explanation Given: The conditions are, “The domain of f must be [ 0 , 10 ] and f ′ ( x ) > 0 and f ″ ( x ) > 0 for all x in the domain of f .” Graph: The domain of all polynomial functions is ( − ∞ , ∞ ) . Let the function be f ( x ) = x 2 . Now, find f ′ ( x ) . f ′ ( x ) = d d x f ( x ) = d d x x 2 = 2 x Now, find f ″ ( x ) . f ″ ( x ) = d d x f ′ ( x ) = d d x 2 x = 2 Since the first derivative and second derivative both are positive

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

11th Edition

ISBN: 9781323751671

Author: Lial

Publisher: PEARSON C

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Chapter 12.6, Problem 23E

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To graph: The curve which satisfies the conditions, “The domain of f must be [0,10], and f′(x)>0 and f″(x)>0 for all x in the domain of f.”

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Chapter 12.6, Problem 22E

Chapter 12.6, Problem 24E

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Chapter 12 Solutions

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

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To graph: The curve which satisfies the conditions, “The domain of f must be [ 0 , 10 ] , and f ′ ( x ) &gt; 0 and f ″ ( x ) &gt; 0 for all x in the domain of f .”

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To graph: The curve which satisfies the conditions, “The domain of f must be [0,10], and f′(x)>0 and f″(x)>0 for all x in the domain of f.”

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Chapter 12 Solutions

To graph: The curve which satisfies the conditions, “The domain of f must be [ 0 , 10 ] , and f ′ ( x ) > 0 and f ″ ( x ) > 0 for all x in the domain of f .”