Explanation Given: The given function is, f ( x ) = 1 − x 2 3 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: The given function f ( x ) can be written as, f ( x ) = ( 1 − x 2 ) 1 3 Use the formula of general power rule to evaluate the derivative of f ( x )

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ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3.3, Problem 13E

To determine

To find: The derivative of the given function.

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Chapter 3.3, Problem 12E

Chapter 3.3, Problem 14E

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Question Given the graph of f(z) below, identify the graph of f'(z). Select the correct answer below: -7-6-5-4-3-2 1 2 3 4 5 6 + 123. -7-6-5-4-3 12 + 4-3-2-1 1

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The derivative of the given function.

Solution Summary: The author explains the formula of general power rule to evaluate the derivative of f(x).

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To find: The derivative of the given function.

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Chapter 3 Solutions