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$ f"(x) = 1/x^2 $

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$$f(x)=-\ln (x)+c x+d$$

01:11

Fahad Paryani

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Missouri State University

Campbell University

Oregon State University

University of Michigan - Ann Arbor

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.

06:14

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.

0:00

Find $ f'(a) $.

00:46

find $f^{\prime \prime}(2)…

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00:35

Find $f(-1)$ if $f(x)=2 x^…

00:44

00:32

01:01

Find $f(x)$.$$f^{\prim…

00:40

Find $f^{\prime}(x)$.$…

So here for this problem were given F double prime of X to be equal to one over X squared. And I'm gonna write that as X to the negative too. Then I'll make it simpler for us in the long run, that tells us that F prime of X is going to be X to the negative one over a negative one, which is just negative one over Acts plus C. That tells us that F of X is going to be equal to negative the anti derivative of one over X is actually going to be the natural log of the absolute value of X. So then based on that, what we end up having is um plus C. X. Class D. Um And the reason why we have plus six is because this is some constant. So it's anti derivative of B plus C X. And then we have plus D. For the final general constant.

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