Science:Math Exam Resources/Courses/MATH102/December 2016/Question B 06 (a)
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 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
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 . 