Explanation Given information: y = 5.2 x − 5 x + 4 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 d d x ( C ) = 0 , where C is constant. Calculation: y = 5.2 x − 5 x + 4 (Given) Differentiating y with respect to ‘ x’, we get d d x ( y ) = d d x ( 5.2 x − 5 x + 4 ) = d d x ( 5.2 x ) − d d x ( 5 x ) + d d x ( 4 ) = 5 d d x ( 2 x ) <

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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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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Question

Chapter 3.2, Problem 9P

To determine

To differentiate:

y=5.2x−5x+4.

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Chapter 3.2, Problem 8P

Chapter 3.2, Problem 10P

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Chapter 3 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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