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| | <span class="exam">(b) Find absolute maximum and absolute minimum of <math style="vertical-align: -4px">g</math> over <math style="vertical-align: -5px">[0,8].</math> | | <span class="exam">(b) Find absolute maximum and absolute minimum of <math style="vertical-align: -4px">g</math> over <math style="vertical-align: -5px">[0,8].</math> |
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| − | {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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| − | !Foundations:
| + | [[009A Sample Final 3, Problem 9 Solution|'''<u>Solution</u>''']] |
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| − | |'''1.''' To find the critical points for <math style="vertical-align: -5px">f(x),</math> we set <math style="vertical-align: -5px">f'(x)=0</math> and solve for <math style="vertical-align: -1px">x.</math> | |
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| − | Also, we include the values of <math style="vertical-align: -1px">x</math> where <math style="vertical-align: -5px">f'(x)</math> is undefined.
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| − | |'''2.''' To find the absolute maximum and minimum of <math style="vertical-align: -5px">f(x)</math> on an interval <math>[a,b],</math>
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| − | we need to compare the <math style="vertical-align: -5px">y</math> values of our critical points with <math style="vertical-align: -5px">f(a)</math> and <math style="vertical-align: -5px">f(b).</math>
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| − | '''Solution:''' | + | [[009A Sample Final 3, Problem 9 Detailed Solution|'''<u>Detailed Solution</u>''']] |
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| − | '''(a)'''
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| − | !Step 1:
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| − | !Step 2:
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| − | '''(b)'''
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| − | !Step 1:
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| − | !Step 2:
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| − | !Final Answer:
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| − | |'''(a)'''
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| − | |'''(b)'''
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| | [[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | | [[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] |
Latest revision as of 16:47, 2 December 2017
Let
(a) Find all critical points of 
over the 
-interval ![{\displaystyle [0,8].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/24cb0ef2257f232fb01fe92aef58ab164267427a)
(b) Find absolute maximum and absolute minimum of over
Solution
Detailed Solution
Return to Sample Exam