Science:Math Exam Resources/Courses/MATH110/April 2018/Question 03 (a)
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Question 03 (a) 

Find if . 
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 

Use implicit differentiation to differentiate each of the terms. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We will use implicit differentiation to differentiate each of the terms and then we will put everything together. Let us start with the easy ones: we have and . Using the product rule and then implicit differentiation, we have For the last term we also use implicit differentiation to get . Putting everything together, we get Now we factor out the to get Rearranging this equation gives Answer: The answer is . 