Explanation Given: P = q ln ( q 2 + 1 ) and P ' = q ( q 2 + 1 ) + ln ( q 2 + 1 ) Formula used: d d x ( u v ) = u v ' + v u ' d d t [ f ( g ( t ) ) ] = f ' ( g ( t ) ) ⋅ g ' ( t ) Calculation: Differentiate the given function with respect to q . P ′ = d d q ( q ln ( q 2 + 1 ) ) We know that d d x ( u v ) = u v ' + v u ' P = q ln ( q 2 + 1 ) P ' ( q )

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Differential Equations

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Chapter 3, Problem 36SYU

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Whether the given statement is true or false.

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Chapter 3, Problem 35SYU

Chapter 3, Problem 37SYU

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To check: Whether the given statement is true or false.

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