Explanation Given information: y = 2 x + 2 x 3 . Formula used: d d x ( a x ) = a x ln a , where a is positive constant . d d x ( x n ) = n x n − 1 Calculation: y = 2 x + 2 x 3 (Given) y = 2 x + 2 x − 3 Differentiating y with respect to ‘ x’, we get d d x ( y ) = d d x ( 2 x + 2 x − 3 ) = d d x ( 2 x ) + d d x ( 2 x − 3 ) = d d x ( 2 x ) + 2 d

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 3.2, Problem 6P

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To differentiate:

y=2x+2x3.

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Chapter 3.2, Problem 5P

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To differentiate: y = 2 x + 2 x 3 .

Solution Summary: The author explains how to differentiate y with respect to ‘ x’.

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To differentiate:

y=2x+2x3.

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Chapter 3 Solutions

To differentiate: y = 2 x + 2 x 3 .

Solution Summary: The author explains how to differentiate y with respect to ‘ x’.

Concept explainers

Videos

To differentiate: y=2x+2x3.

Want to see the full answer?

Chapter 3 Solutions

To differentiate:

y=2x+2x3.