Explanation Given data: y = x 3 − a x 2 Graph: The graph of several members of the family y = x 3 − a x 2 on the same axis is given by Interpretation: For larger a, the local minimum of y = x 3 − a x 2 gets lower. That is for larger a, the graph stretches right side of the function y = x 3 − a x 2 . y = x 3 − a x 2 ⇒ y ' = 3 x 2 − 2 a 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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Question

Chapter 4.1, Problem 52P

To determine

To graph:

Several members of the family y=x3−ax2 on the same axis.

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Chapter 4.1, Problem 51P

Chapter 4.1, Problem 53P

Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY

To graph: Several members of the family y = x 3 − a x 2 on the same axis.

Solution Summary: The author analyzes how the graph of several members of the family y=x3-a2 on the same axis is given by Interpretation.

Concept explainers

Videos

To graph:

Several members of the family y=x3−ax2 on the same axis.

Want to see the full answer?

Chapter 4 Solutions

To graph: Several members of the family y = x 3 − a x 2 on the same axis.

Solution Summary: The author analyzes how the graph of several members of the family y=x3-a2 on the same axis is given by Interpretation.

Concept explainers

Videos

To graph: Several members of the family y=x3−ax2 on the same axis.

Want to see the full answer?

Chapter 4 Solutions

To graph:

Several members of the family y=x3−ax2 on the same axis.