Science:Math Exam Resources/Courses/MATH100/December 2016/Question 03 (a)
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Question 03 (a) 

Compute the derivative of . Remember that . 
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! 
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Hint 

Simplify the function by taking the logarithm of both sides and then apply logarithmic differentiation. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

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Solution 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. First, take the logarithm of both sides of the given equation to obtain
Then take the derivative of both sides to get . Therefore, the answer is

Please rate how easy you found this problem:
Hard Easy 
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