Science:Math Exam Resources/Courses/MATH110/December 2016/Question 05 (b)
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Question 05 (b) 

Consider the function . (b) Let be the quantity computed in part (a). Explain in your own words what represents graphically. 
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 are taking a limit of the slope of the secant line. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Since is the slope of the secant line joining and , at the limit we have that is the slope of the tangent line of at the point . Answer: represents the 