Science:Math Exam Resources/Courses/MATH110/December 2017/Question 01 (b)
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Question 01 (b) 

Find the equation of the tangent line to the graph of at given that and . 
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 

Recall that, for a function , the equation of tangent line at the point is given by . 
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. By the Hint, we need to put and use the values and which are given. Recall that the equation of tangent line at the point is Since and , the equation becomes Alternatively, this can be expanded and simplified as Answer: the equation of tangent line is . 