Difference between revisions of "009A Sample Final 3, Problem 6"
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::<math>f(x)=4+8x^3-x^4</math> | ::<math>f(x)=4+8x^3-x^4</math> | ||
| − | <span class="exam">(a) Over what <math>x</math>-intervals is <math>f</math> increasing/decreasing? | + | <span class="exam">(a) Over what <math style="vertical-align: 0px">x</math>-intervals is <math style="vertical-align: -4px">f</math> increasing/decreasing? |
| − | <span class="exam">(b) Find all critical points of <math>f</math> and test each for local maximum and local minimum. | + | <span class="exam">(b) Find all critical points of <math style="vertical-align: -4px">f</math> and test each for local maximum and local minimum. |
| − | <span class="exam">(c) Over what <math>x</math>-intervals is <math>f</math> concave up/down? | + | <span class="exam">(c) Over what <math style="vertical-align: 0px">x</math>-intervals is <math style="vertical-align: -4px">f</math> concave up/down? |
| − | <span class="exam">(d) Sketch the shape of the graph of <math>f.</math> | + | <span class="exam">(d) Sketch the shape of the graph of <math style="vertical-align: -4px">f.</math> |
| + | <hr> | ||
| + | [[009A Sample Final 3, Problem 6 Solution|'''<u>Solution</u>''']] | ||
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| + | [[009A Sample Final 3, Problem 6 Detailed Solution|'''<u>Detailed Solution</u>''']] | ||
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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 16:42, 2 December 2017
Let
(a) Over what -intervals is increasing/decreasing?
(b) Find all critical points of and test each for local maximum and local minimum.
(c) Over what -intervals is concave up/down?
(d) Sketch the shape of the graph of
