Explanation Given: The given function is f ( x ) = 3 x + 5 x + 9 . Formula used: The derivative of quotient of two functions: d d x ( f g ) = f ′ g − f g ′ g 2 . Calculation: Assume f = 3 x + 5 , g = x + 9 . Then, the derivative of the given function is Differentiate the given function. f ′ ( x ) = d d x ( 3 x + 5 x + 9 ) = ( d d x ( 3 x + 5 ) ) ( x + 9 ) − ( 3 x + 5 ) d d x ( x + 9 )

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Differential Equations

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Chapter 3.2, Problem 17PS

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To differentiate the function f(x)=3x+5x+9 .

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Chapter 3.2, Problem 16PS

Chapter 3.2, Problem 18PS

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Chapter 3 Solutions

Calculus

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To differentiate the function f ( x ) = 3 x + 5 x + 9 .

Solution Summary: The author calculates the derivative of the given function, based on fprime (x)=3x+5.

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To differentiate the function f(x)=3x+5x+9 .

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Chapter 3 Solutions