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## $$F(x)=3 x(5 / 3)-75$$

Derivatives

Differentiation

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##### Top Calculus 2 / BC Educators ##### Catherine R.

Missouri State University ##### Samuel H.

University of Nottingham ##### Michael J.

Idaho State University Lectures

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### Video Transcript

So we're told that F prime of X is equal to um crime of X rather is equal to five x. and the 2/3. Okay, so when we take the anti derivative of this, we end up getting X to the two thirds would become five thirds, So five x to the 5/3 divided by five thirds times 3/5 b three X to the five thirds. And then that's going to be plus some see value. We're told that F of eight is 21. So if you plugged in 8 to the 5/3, the 32 Free time fat is 96, So 96 and instead we're getting 21 so we would have to subtract this by 75, meaning that our final answer is F of X equals three X to the five thirds minus 75. California Baptist University

#### Topics

Derivatives

Differentiation

Volume

##### Top Calculus 2 / BC Educators ##### Catherine R.

Missouri State University ##### Samuel H.

University of Nottingham ##### Michael J.

Idaho State University Lectures

Join Bootcamp