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Problem

The graph of a function $ f $ is shown. Which gra…
02:42

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Problem 50 Medium Difficulty

Find a function $ f $ such that $ f'(x) = x^3 $ and the line $ x + y = 0 $ is tangent to the graph of $ f $.

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02:08

WZ

Wen Zheng

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Calculus 1 / AB

Calculus 2 / BC
Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Related Topics

Derivatives

Differentiation

Volume

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Top Calculus 2 / BC Educators
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Lectures

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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.
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06:14
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Watch More Solved Questions in Chapter 4

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Problem 9
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Problem 16
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Problem 18
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Problem 20
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Problem 25
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Problem 27
Problem 28
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Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
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Problem 79

Video Transcript

we know we're trying to find the X coordinate when the derivative equals negative one There for Alexa X cubed equal to negative one we get AKs is negative one to the power of 1/3 which is negative one. Therefore, using the tangent line Why is negative x negative negative. Want which is positive one. Therefore, if after backs is 1/4 axe to the fourth proceed may get one is 1/4 times negative one Combats are acts in this context to the fourth pussy giving us 3/4 equal. See, giving us a function after box is one fork extra fourth plus three divide by four

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Related Topics

Derivatives

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Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35
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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.
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.
Join Course
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