Science:Math Exam Resources/Courses/MATH102/December 2019/Question 05 (a)
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Question 05 (a) 

For this question, let
You may use the following facts without proving them: (a) Give an equation of the tangent line to 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 

For a curve described by a function, at any point, the slope of the tangent line is equal to the derivative of the function. 
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. The slope of the tangent line to the curve is equal to . . Using the slopepoint form, the tangent line equation is , i.e. . 