Science:Math Exam Resources/Courses/MATH110/December 2017/Question 10 (b)
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Question 10 (b) 

(b) Use the chain rule and other appropriate differentiation rules to prove the formula above. 
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 

Write the quotient as a product of a function and the reciprocal of another function. 
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. Following the Hint, we write By the product rule, we have In order to find the derivative of , we use the chain rule with , to obtain Putting this back, we have 