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Analyzing a Critical Number A differentiable function $f$ has one critical number at $x=5 .$ Identify the relative extrema of $f$ at the critical number when $f^{\prime}(4)=-2.5$ and$f^{\prime}(6)=3$

$(5, f(5))$ is a local minimum!

Calculus 1 / AB

Chapter 3

Applications of Differentiation

Section 3

Increasing and Decreasing Functions and the First Derivative Test

Limits

Derivatives

Differentiation

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:16

Analyzing a Critical Numbe…

04:24

Find the critical numbers …

00:17

Use the given derivative t…

00:36

01:02

18:36

04:08

Find all critical numbers …

03:47

a. Locate the critical poi…

06:21

Locating critical points F…

04:11

Use the first derivative t…

all right. It was given that No, Your pass. Well, remember it. Exit was two friends. If there's food equals minus put blind faith, which is a let down Jill. So the function is decreasing at X equals 24 And if they're six equals 23 which is greater than zero. So the functioning of years increasing attacks in close to six here the same off first enemy too. Abdel function their profits. These change it from you bother to. So according to the I didn't mean to guest, we can see that. Frank, come on. Yes, I'm afraid easier. Mukhin, we need more. Thank you for watching.

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In mathematics, precalculus is the study of functions (as opposed to calculu…

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Analyzing a Critical Number A differentiable function $f$ has one critical n…

Find the critical numbers of the function.$f(x)=5 x^{2}+4 x$

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Locating critical points Find the critical points of the following functions…

Use the first derivative to find all critical points and use the second deri…

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Analyzing the Graph of a Function Exercises $9-36,$ analyze and sketch a gra…

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Minimum Length A farmer plans to fence a rectangular pasture adjacent to a r…

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Slant Asymptote Which type of function can have a slant asymptote? How do yo…

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Finding the Area of a Region In Exercises $15 - 28$ sketch the region bounde…

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Applying the First Derivative Test In Exercises 19- $40,(a)$ find the critic…

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$f$ is differentiable on $[0, \pi]$

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Applying the First Derivative Test In Exercises $41-48$ , consider the funct…

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Intervals on Which a Function Is Increasing or Decreasing In Exercises $11-1…

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