Explanation Given information: The given function is, f ( t ) = t + 2 t + 3 t 2 Formula used: The formula to calculate the differential of a function h ( x ) = [ g ( x ) ] n by General Power Rule is, h ′ ( x ) = n [ g ( x ) ] n − 1 g ′ ( x ) Calculation: The given function is, f ( t ) = t + 2 t + 3 t 2 = t + 2 t − 1 + 3 t − 2 (1) Differentiate equation (1) with respect to t on both sides to evaluate f ′ ( t ) . f ′ ( t ) = d d t ( t + 2 t − 1 + 3 t − 2 ) = d d t ( t <

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3, Problem 7RE

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To find: The derivative of the given function.

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Chapter 3, Problem 6RE

Chapter 3, Problem 8RE

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Advanced calculus 1

Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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.

Solution Summary: The author explains the formula used to calculate the differential of a function: cf(t)=t+

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To find: The derivative of the given function.

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Chapter 3 Solutions