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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

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Harvey Mudd College

University of Nottingham

Idaho State University

Boston College

Lectures

04:35

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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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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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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