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Find the critical numbers of the function. $ g…

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Problem 39 Hard Difficulty

Find the critical numbers of the function.

$ F(x) = x^\frac{4}{5} (x - 4)^2 $


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02:39

WZ

Wen Zheng

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 1

Maximum and Minimum Values

Related Topics

Derivatives

Differentiation

Volume

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Video Transcript

Okay. We know that we can use the product. Roll off one GPAs FT one to find the derivative were fracturing out the two, as you can see. Okay, Now we have X minus form parentheses. Their first set, X Honest four equals to zero on the end, up with one of our critical numbers. X equals four. Next, we know that we can set seven x months. Eight equal to zero and we end up with X equals eight over seven as our second critical number. And then lastly, don't forget that we have zero as our third critical number because of the denominator.

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Related Topics

Derivatives

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Top Calculus 2 / BC Educators
Catherine Ross

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Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

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