Difference between revisions of "009A Sample Final 1, Problem 9"
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| − | <span class="exam">Given the function <math>f(x)=x^3-6x^2+5</math>, | + | <span class="exam">Given the function <math style="vertical-align: -5px">f(x)=x^3-6x^2+5</math>, |
| − | <span class="exam">a) Find the intervals in which the function increases or decreases. | + | <span class="exam">(a) Find the intervals in which the function increases or decreases. |
| − | <span class="exam">b) Find the local maximum and local minimum values. | + | <span class="exam">(b) Find the local maximum and local minimum values. |
| − | <span class="exam">c) Find the intervals in which the function concaves upward or concaves downward. | + | <span class="exam">(c) Find the intervals in which the function concaves upward or concaves downward. |
| − | <span class="exam">d) Find the inflection point(s). | + | <span class="exam">(d) Find the inflection point(s). |
| − | <span class="exam">e) Use the above information (a) to (d) to sketch the graph of <math>y=f(x)</math>. | + | <span class="exam">(e) Use the above information (a) to (d) to sketch the graph of <math style="vertical-align: -5px">y=f(x)</math>. |
| − | + | <hr> | |
| − | + | [[009A Sample Final 1, Problem 9 Solution|'''<u>Solution</u>''']] | |
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| − | ''' | + | [[009A Sample Final 1, Problem 9 Detailed Solution|'''<u>Detailed Solution</u>''']] |
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[[009A_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | [[009A_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 15:59, 2 December 2017
Given the function ,
(a) Find the intervals in which the function increases or decreases.
(b) Find the local maximum and local minimum values.
(c) Find the intervals in which the function concaves upward or concaves downward.
(d) Find the inflection point(s).
(e) Use the above information (a) to (d) to sketch the graph of .
