Science:Math Exam Resources/Courses/MATH102/December 2016/Question B 06 (a)
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Question B 06 (a) 

For both parts of this question, consider the function (a) Find the absolute maximum of the function on the interval . Hint: It would be useful to make a rough sketch of 
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Hint 

Examine the signs of on . 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. To see on which interval is increasing ore decreasing, we first determine the sign of on . For this purpose, we find the derivative . Since , drawing the graph of , we have when or , and when . Therefore, is increasing on and decreasing on .
Comparing with , we can figure out that achieve its maximum on at , which is . 
Please rate how easy you found this problem:
Hard Easy 
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