Find the intervals of concavity and inflection points [f(x) = 2 + 3x - x^3] | Jake's Math Lessons

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Find the intervals of concavity and inflection points [f(x) = 2 + 3x - x^3] | Jake's Math Lessons
Find the intervals of concavity and inflection points [f(x) = 2 + 3x - x^3] | Jake's Math Lessons

Recently in one of my weekly live stream videos I went over a kind of long multi-part problem. And one of the parts to that problem was finding intervals of concavity and inflection points in a given function. I thought you might find it helpful to get a little bit more info on that topic. So that's what we're going to be going over in this video: how to find intervals of concavity and inflection points of a function. We are going to be kind of jumping into the middle of this problem because the clip that I'm going to show you in this video did actually come directly from that live stream video and I'm just going to be showing you the section about concavity and inflection points.

If you do want to see the prior parts that kind of got us up to this point I'll put an info card up there in the video so you can go check that out and then you can come back and see the kind of conclusion of this problem here. So let's jump into the problem and I'll show you how you can use the second derivative of a function to find intervals of concavity and inflection points.

Chapters,
0:00 Introduction
1:07 The start to solve
2:13 Look whether second derivative is equal to zero
3:24 Drawing the number line
7:55 Solve for the intervals of concavity
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#jakes_math_lesson #concavity #calculus
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0:00 Introduction
1:07 The start to solve
2:13 Look whether second derivative is equal to zero
3:24 Drawing the number line
7:55 Solve for the intervals of concavity

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