Problem

Sketch the graph of a function $ f $ that is cont…

03:48

Problem 6 Easy Difficulty

Use the graph to state the absolute and local maximum and minimum values of the function.

Answer

SEE SOLUTION

More Answers

01:27

Wen Z.

Topics

Derivatives

Differentiation

Volume

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 1

Maximum and Minimum Values

Discussion

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Missouri State University

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Video Transcript

So what? We see if we look at the graph, um, it won't be perfect, but it's okay. What we have here is value. It comes down to value about here. Then this comes up and goes down, and then this comes up again and goes right here. So what we see is that the absolute minimum value is clearly going to occur when X equals four. And that's this. How you're right here. So it's the absolute minimum, um, and that that would also be considered a local minimum. Then we have a local maximum occurring at three. That's right here. We also have a local maximum occurring at six. So that's this point right here. Then. Lastly, we have our local minima, which already said, there's one right here at X equals four, but then we also have one. Um, since there's a point right here, this is considered a local minima at X equals two because we see that every point to the right is increasing. Every point to the left is increasing immediately thereafter.

Carson M.

California Baptist University

Topics

Derivatives

Differentiation

Volume

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 1

Maximum and Minimum Values

Top Calculus 2 / BC Educators

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Michael J.

Idaho State University

Joseph L.

Boston College