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Problem

Draw a graph of $ f $ and use it to make a rough …

01:52

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Problem 56 Hard Difficulty

(a) Use a graphing device to graph $ f(x) = 2x - 3 \sqrt{x} $.
(b) Starting with the graph in part (a), sketch a rough graph of the antiderivative $ F $ that satisfies $ F(0) = 1 $.
(c) Use the rules of this section to find an expression for $ F(x) $.
(d) Graph $ F $ using the expression in part (c). Compare with your sketch in part (b).


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Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Related Topics

Derivatives

Differentiation

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Video Transcript

but to play usar graphing. The wise to graph of wax is in order to axe Manus rate hams. Square it of backs kind of Graf Here, this is a graph of blacks so you can see first it is decreasing Conectiv decreasing, negative, increasing on past if increasing, be starting with the graph in part. Pain sketch. A rough graph of the anti derivative that satisfies kept alive. Zero. Yes, he got one or b go for walks From the graph, we can say this. It was a negative, increasing negative. Inker is impassive, so we can job Graff off and derivative come toe after eyes follows. First half serious people won. No So, like plasticine broth canto. Thanks the first quizzing and there's a slow port of hand in line. It's getting smaller and smaller. Then take your eczema. But is a slope was a landline, not a lodger, Then increasing, I had to settle for its ten inline skating are drawing the lodger. I see. Use the rules of this section to find an expression off after box. We have capital. F. Lex is going to exploiter Linus three times to over three sacks to the problem. really well to that. This is the sea. This is equal to explain one or two times x the power off to Passy. Things have to. After all, it's a good one. So we're half see his equal. Who? Why, then we have Aunt. Interrogative is equal to capture back. If you go to X squared minus two times X to the power house. Really well too or part the graph capital half using two expression part of C Compare with your station part B. True, we can craft this five broke curfew is and curve anti derivative capital for Lex. Now come Pirates A graph here. Sick of the graph is similar.

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Related Topics

Derivatives

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Top Calculus 2 / BC Educators
Catherine Ross

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Anna Marie Vagnozzi

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Lectures

Video Thumbnail

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.

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.

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