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Find the absolute maximum and minimum values of each function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur, and include their coordinates.$$f(x)=4-x^{3}, \quad-2 \leq x \leq 1$$

Absolute Min: 3; Absolute Max: 12

Calculus 1 / AB

Chapter 4

Applications of Derivatives

Section 1

Extreme Values of Functions on Closed Intervals

Derivatives

Differentiation

Applications of the Derivative

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

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In mathematics, precalculu…

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Find the absolute maximum …

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a. Find the absolute maxim…

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for this question were given the function after vaccines able to for my sex cube drivel. Full night of two was Austin Able Switches Lesson. People toe one were asked upon absolute extreme values, which are absolute maximum, absolute minimum. So sterile flights we can find a critical numbers. We find a derivative of F of X, which is equal to neither three X squared. And so we need to find critical Number said is when you're three x great, it's equal to zero. It gets expertise. You go to zero X equal to zero. So we note our critical number is acceptable to zero so we can find out c f of our silence. Anarchic remembers. We've got your 20 to 4 minus 92 cubed, which is equal to four plus eight to see. Go to 12. We have one physical, two for minus one cube, which is equal to three. That's what we have often zero she was before my hero Que, which is just equal to four. It was so consider absolute mineral. His three. Your absolute lacks wound. I was 12. Next we're asked a graph this so we have. Let's see quarrel mice X cubed from May Give to is less than or equal Teoh X, which is a strangle 21 So we've got aircraft. You can see there are minimum because right there at 13 your maximum absent maximum because the negative to 12 it's like it's absolutely at wise Eclipse Syria Absolute Lex, move where is equal to 12?

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