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Use the guidelines of this section to sketch the curve.$$y=\ln \left(x^{2}-3 x+2\right)$$

$(-\infty, 1)(2, \infty)$

Calculus 1 / AB

Chapter 4

APPLICATIONS OF DIFFERENTIATION

Section 4

Curve Sketching

Derivatives

Differentiation

Applications of the Derivative

Oregon State University

Baylor University

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

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In mathematics, a function…

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Use the guidelines of this…

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03:27

16:50

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08:05

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07:53

we want to use the guidelines of this section sketch the curve that's going to be F of X equals the natural log of x squared minus three X plus two. Come we see that um This can be written as x -2 times X -1. So we're going to get vertical assam. Totes at X equals two And x equals one. Then we can also see that if we plug in a zero, we get the natural log of two, that's gonna be our when except and then we'll consider have time of acts which ends up giving us this right here and we see that there are going to be any critical points. The function is decreasing here and increasing here. Um And then lastly, we'll see that we're going to have F double, convex to give us the con cavity. We see it's concave down the whole time. So with this in mind we graph our function and we see the vertical ass and totes. So I end up giving us our final graph

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