Problem

Find $ f $. $ f'(x) = 1 + 3\sqrt{x} $, $ \quad…

02:29

Problem 30 Easy Difficulty

Find $ f $.

$ f"'(x) = \sqrt{t} - 2\cos t $

Name: find f fx sqrtt 2cos t
Uploaded: 2021-06-04
Duration: 1 min 53 s
Channel: Numerade
Description: Find $ f $. $ f"'(x) = \sqrt{t} - 2\cos t $

Answer

$\frac{8 t^{7 / 2}}{105}+2 \sin t+$$\frac{C t^{2}}{2}+y t+d$

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Video Transcript

So for this problem were given that F triple crime Yeah from X is given to us as being equal to the square root of tea. So it's going to be what is called X. X. To the one half minus to cosign P or minus two crows and X. An F double prime of X is going to be equal to X to the 3/2. Um over three have 72/3 times this. I'm in a negative cosine X. That's going to be minus two Synnex class C. Then F prime of X is going to give us two thirds Times X to the 5/2ves Provided by 5/2. That's going to be times two fists. That's gonna make this for 15th. And then I'll be minus or plus to co sign X plus C. X plus D. And then lastly for our final answer will get ffx is equal to 8/105. Yeah. X. to the 7/2ves minus two. Sign X. or plus two cynics. Yeah. Plus see X squared over two plus de plus or plus D. X. Plus key. And that will be our final answer.

Carson M.

California Baptist University

Topics

Derivatives

Differentiation

Volume

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Problem

Find $ f $. $ f'(x) = 1 + 3\sqrt{x} $, $ \quad…

Problem 30 Easy Difficulty

Find $ f $.

$ f"'(x) = \sqrt{t} - 2\cos t $

Answer

$\frac{8 t^{7 / 2}}{105}+2 \sin t+$$\frac{C t^{2}}{2}+y t+d$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

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Michael J.

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Watch More Solved Questions in Chapter 4

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 2 / BC Educators

Grace H.

Catherine R.

Heather Z.

Michael J.

Calculus 2 / BC Bootcamp

Integration Review - Intro

Definite vs Indefinite

Recommended Videos