Science:Math Exam Resources/Courses/MATH110/December 2012/Question 03 (b)
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Question 03 (b) 

Calculate the following derivative. You may leave your answer unsimplified. , where , and and are constants. 
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 

Finding the derivative would be easier if the variable x were in the numerator instead of the denominator of each fraction. You can achieve this by switching the signs of the exponents. 
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.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. You could use the quotient rule on each term of this function, but it will be easier to rewrite it as follows:
Remembering that a, b, c and d are constants, we can simply use the power rule, which gives:
You can leave the answer like this. If you wanted to simplify, it would be written:
