Science:Math Exam Resources/Courses/MATH110/December 2010/Question 02 (b)
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Question 02 (b) 

Find the derivative of the following function. 
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 hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. 
Hint 1 

Which derivative rule do you need to use here? 
Hint 2 

Since we see a quotient, I suggest the quotient rule. 
Checking a solution serves two purposes: helping you if, after having used all the hints, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The function consists of one function dividing another. This means we should use the quotient rule to find the derivative. Changing to , and applying the quotient rule we get:
This answer is sufficient, however, we can simplify this term by multiplying the numerator and the denominator by to get
