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Find the critical numbers of the function. $ g…

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Problem 37 Medium Difficulty

Find the critical numbers of the function

$ h(t) = t^\frac{3}{4} - 2t^\frac{1}{4} $


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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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Top Calculus 2 / BC Educators
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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.

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Video Transcript

use the power rule to take the derivative minus two times 1/4 teach the night of three over four. And we know we can simplify this to write as three squared of teams, too over four. Cheat the 3/4. And now that we have this, we know that we can set zero equals three squirt of two minus t was like a three squirt of T minus two. So for tea and we end up with T equals 2/3 squares, that's 4/9 and then remember that zero is also a critical number.

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Calculus: Early Transcendentals

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Related Topics

Derivatives

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Volume

Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Anna Marie Vagnozzi

Campbell University

Heather Zimmers

Oregon State University

Michael Jacobsen

Idaho State University

Calculus 2 / BC Courses

Lectures

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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Recommended Videos

03:48

Find the critical numbers of the function. $$h(t)=t^{3 / 4}-2 t^{1 / 4}$$

01:59

Find the critical numbers of the function. $s(t)=3 t^{4}+4 t^{3}-6 t^{2}$

01:54

Find the critical numbers of the function. h(t) = t3/4 3t1/4

00:44

Find the critical numbers of the function. $ g(t) = t^4 + t^3 + t^2 + 1 $

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Find the critical numbers of the function. $$g(t)=t^{4}+t^{3}+t^{2}+1$$

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Find the critical numbers of the function. $$ p(t)=t e^{4 t} $$

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25-40 Find the critical numbers of the function. $$h(t)=t^{3 / 4}-2 t^{1 / 4}$$
Additional Mathematics Questions

07:04

In the following problems, check that it is appropriate to use the normal ap…

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