Explanation Given information: The given function is f ( x ) = 3 ( x 3 − x ) 4 . 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 ( 3 ( x 3 − x ) 4 ) d x = 3 d ( ( x 3 − x ) 4 ) d x ( ∵ d ( c g ( x ) ) d x = c d ( g ( x ) ) d x ) = 3 [ 4 ( x 3 − x ) 3 ] d ( x 3 − x </

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ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3.3, Problem 6E

To determine

To find: The derivative of the given function.

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Chapter 3.3, Problem 5E

Chapter 3.3, Problem 7E

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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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The derivative of the given function.

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To find: The derivative of the given function.

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Chapter 3 Solutions