Explanation Given information: The given function is f ( x ) = ( x 2 − 4 ) 5 / 2 . Formula used: General Power Rule: If f is a differentiable function and h ( x ) = [ f ( x ) ] n , where n is a real number, then, h ′ ( x ) = d d x [ f ( x ) ] n = n [ f ( x ) ] n − 1 f ′ ( x ) Calculation: Differentiate the given function with respect to x . d ( f ( x ) ) d x = d ( ( x 2 − 4 ) 5 / 2 ) d x = 5 2 ( x 2 − 4 ) 3 / 2 d ( x 2 − 4 ) d x ( ∵ d [ g ( x ) ] n d x = n [ g ( x )

10th Edition

ISBN: 9781305041264

Author: Tan

Publisher: CENGAGE C

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Chapter 3.3, Problem 9E

To determine

To find: The derivative of the given function.

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Chapter 3.3, Problem 8E

Chapter 3.3, Problem 10E

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Chapter 3 Solutions

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Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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To find: The derivative of the given function.

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Chapter 3 Solutions