a. Explanation Given information: The function g ( u ) = u 7 Concept and Formula Used: Chain rule of derivative & d d x x n = n x n − 1 Calculation: It is given that g ( u ) = u 7 Differentiate both sides with respect to ‘u’ Using d d x x n = n x n − 1 and chain rule d b. To determine To Find: d d x u ( x ) for u ( x ) = 5 − 8 x − 12 x 2 . c. To determine To Find: d d x f ( x ) for f ( x ) = ( 5 − 8 x − 12 x 2 ) 7 .

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Exponential Growth Model

The relation that represents an exponential function is:

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Chapter 3.5, Problem 11PS

To determine

To Find: ddug(u) for g(u)=u7 .

To determine

To Find: ddxu(x) for u(x)=5−8x−12x2 .

To determine

To Find: ddxf(x) for f(x)=(5−8x−12x2)7 .

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Chapter 3.5, Problem 10PS

Chapter 3.5, Problem 12PS

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Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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d d u g ( u ) for g ( u ) = u 7 .

Solution Summary: The author explains that ddug(u)=7u6 Differentiate both sides with respect to ‘u’.

Concept explainers

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To Find: ddug(u) for g(u)=u7 .

To Find: ddxu(x) for u(x)=5−8x−12x2 .

To Find: ddxf(x) for f(x)=(5−8x−12x2)7 .

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Chapter 3 Solutions