Explanation Given information: The statement is ‘The derivative of the quotient of two functions is the quotient of their derivatives.’ Formula used: Quotient rule : d d x ( u v ) = v u ' − v ' u v 2 Calculation: For example, f ( x ) = x g ( x ) = s i n x d d x ( f ( x ) g ( x ) ) = d d x ( x sin x ) = sin x . d d x ( x ) + d d x ( s i n x ) . x sin 2 x [ U s i n g t h e q u o t i e n t r u l e ] = sin x . ( 1 ) + ( c o s x )

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 3, Problem 40SYU

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The derivative of the quotient of two functions is the quotient of their derivatives.

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Chapter 3, Problem 39SYU

Chapter 3, Problem 41SYU

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True or false: The derivative of the quotient of two functions is the quotient of their derivatives.

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True or false: The derivative of the quotient of two functions is the quotient of their derivatives.

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Chapter 3 Solutions

True or false:

The derivative of the quotient of two functions is the quotient of their derivatives.