Explanation Given: h ( w ) = w 3 ln ( 10 w ) Formula used: d d x ( u v ) = u ′ v + v ′ u Calculation: Differentiate the given function with respect to w. h ′ ( w ) = d d x ( w 3 ln ( 10 w ) ) We know that d d x ( u v ) = u ′ v + v ′ u Apply above formula u = w 3 v = ln ( 10 w ) h ′ ( w ) = d d x ( w 3 ln ( 10

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 3, Problem 42FOP

To determine

To differentiate:

The given function has to be differentiated.

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Chapter 3, Problem 41FOP

Chapter 3, Problem 43FOP

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Chapter 3 Solutions

APPLIED CALCULUS (WILEY PLUS)

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To differentiate: The given function has to be differentiated.

Solution Summary: The author explains how to differentiate a given function with respect to w.