Explanation Given information : f ( x ) = x 2 + 3 x 2 − 5 Formula needed : Quotient Rule - d d x ( f g ) = g d f d x − f d g d x g 2 Calculation : Let us take u = x 2 + 3 x 2 − 5 ; f ( x ) = u differentiate function with respect to u , d f d u = d d u ( u ) = 1 2 u differentiate u with respect to x , d u d x = d d x ( x 2 + 3 x 2 − 5 ) Apply quotient rule, d u d x = ( x 2 − 5 ) d d x ( x 2 + 3 ) − ( x 2 + 3 ) d d x (

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 3.5, Problem 29PS

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Tocalculate : Derivative of f(x)

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Chapter 3.5, Problem 28PS

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Chapter 3 Solutions

Calculus

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Tocalculate : Derivative of f ( x )

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Tocalculate : Derivative of f(x)

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Chapter 3 Solutions