Science:Math Exam Resources/Courses/MATH100/December 2015/Question 03 (i)
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Question 03 (i) 

What is the equation of the line tangent to the function at the point (4, 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 hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. 
Hint 1 

Recall that the tangent line formula to a function at : . 
Hint 2 

To solve our problem, what would and be in the tangent line formula? 
Hint 3 

Considering , find . 
Checking a solution serves two purposes: helping you if, after having used all the hints, 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. Applying the tangent line formula to and , we have .
Since , the final answer is or . 