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Use the guidelines of this section to sketch the curve.$$y=2 \sqrt{x}-x$$

There is no inflection point

Calculus 1 / AB

Chapter 4

APPLICATIONS OF DIFFERENTIATION

Section 4

Curve Sketching

Derivatives

Differentiation

Applications of the Derivative

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

14:39

Use the guidelines of this…

16:12

04:31

20:32

06:31

15:54

14:38

16:02

12:42

10:17

17:51

05:43

08:38

16:20

04:52

06:29

12:25

14:36

13:27

03:27

the fine problem. We're going to be using the guidelines of the section to sketch the curve. This is gonna be F of X equals to root X yeah minus x. And then the domain is going to be from 0 to infinity. So what we're going to have here is considering the fact that we have um zero is going to be an intercept. And then um we're also going to consider the fact that if you plug in River to graph will get a maximum value of one. When X equals one, we indicating to minus one which is one. So 11 is going to be our maximum. And then we also have that we're gonna end up getting another intercept as we'll see soon. That's going to be Um put in a 24 here. So it would be for zero. So when we graph this, we end up seeing those intercepts the maximum. And then we also see that the second derivative graph is always contact down.

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