calc exam 3

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Last updated 10:15 PM on 7/20/26
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8 Terms

1
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<p>relative max</p>

relative max

where the graph rises, reaches a peak, and then falls

<p>where the graph rises, reaches a peak, and then falls</p>
2
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<p>relative minima</p>

relative minima

graph falls, reaches a bottom, and then rises.

<p>graph falls, reaches a bottom, and then rises.</p>
3
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<p>absolute maximum</p>

absolute maximum

highest included point anywhere on the graph.

<p>highest included point anywhere on the graph.</p>
4
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<p>absolute minimum</p>

absolute minimum

lowest included point anywhere on the graph.

<p>lowest included point anywhere on the graph.</p>
5
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<p>critical points</p>

critical points

  1. derivative

  2. = 0

  3. Plug into OG

<ol><li><p>derivative</p></li><li><p>= 0</p></li><li><p>Plug into OG </p></li></ol><p></p>
6
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<p>absolute extrema CLOSED interval</p>

absolute extrema CLOSED interval

  1. test x’s and endpoints by plugging into OG

  2. make table w/ corresponding x’s and y’s

  3. compare y - values (small = abs. min largest = abs. max)

<ol><li><p>test x’s and endpoints by plugging into OG</p></li><li><p>make table w/ corresponding x’s and y’s</p></li><li><p>compare y - values (small = abs. min largest = abs. max)</p></li></ol><p></p><p></p>
7
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<p>relative extrema</p>

relative extrema

  1. take C.P & plug into derivative a # to the left & right

  2. sign chart

  3. determine if its min or max

8
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<p></p>

area of rectangle:

A = xy