Science:Math Exam Resources/Courses/MATH102/December 2017/Question 02
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Question 02 

Find at the point if A. , Template:0 B. , Template:0 C. , Template:0 D. , E. , Template:0 F. , Template:0 G. , Template:0 H. , Template:0 I. , Template:0 J. 
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 

We differentiate the equations implicitly and then evaluate the derivative at the given point. 
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 differentiate both sides of the equation and use product rule and chain rule, considering as a function of . Then By the product rule, By the chain rule, Therefore, Solving for , we have At the point , we have Answer: . 