Science:Math Exam Resources/Courses/MATH104/December 2011/Question 01 (i)
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Question 01 (i) 

Find the equation of the tangent line to the curve at the point (1,2). 
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. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. To determine the equation of the tangent line we will need the slope of the line at the given point. To find the slope at the given point, we may use implicit differentiation and find an expression for y'. At the point (1,2), this equation becomes Using the "pointslope" equation of a straight line with slope m = y' that passes through the point (x_{0},y_{0}) we have which is the equation of the tangent line at (1,2). 