Explanation Given Information: The provided function is f ( x ) = 3 x 4 − x 6 . Formula Used: Difference rule for function f ( x ) = u ( x ) − v ( x ) , where u and v are differentiable functions of x , then f ′ ( x ) = u ′ ( x ) − v ′ ( x ) . Power of x rule for a real number n is such that, if f ( x ) = x n then f ′ ( x ) = n x n − 1 . Coefficient rule for a constant c is such that, if f ( x ) = c ⋅ u ( x ) , where u ( x ) is a differentiable function of x , then f ′ ( x ) = c ⋅ u ′ ( x ) . Calculation: Consider the function, f ( x ) = 3 x 4 − x 6

Mathematical Applications for the Management, Life, and Social Sciences

11th Edition

ISBN: 9781305108042

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 9.4, Problem 7E

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To calculate: The derivative of the function f(x)=3x4−x6.

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Chapter 9.4, Problem 6E

Chapter 9.4, Problem 8E

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Chapter 9 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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The derivative of the function f ( x ) = 3 x 4 − x 6 .

Solution Summary: The author explains how to calculate the derivative of the function f(x)=3x

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To calculate: The derivative of the function f(x)=3x4−x6.

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Chapter 9 Solutions