Science:Math Exam Resources/Courses/MATH104/December 2013/Question 01 (f)
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Question 01 (f) 

If , find the equation of the tangent line to this curve at the point . 
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 can use implicit differentiation to find the slope of the tangent line (and subsequently the equation of the tangent line). Don't forget to apply the product rule to the xy term! 
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. Using implicit differentiation with respect to x, we see that
and substituting in the point , we have
