Science:Math Exam Resources/Courses/MATH110/December 2013/Question 10 (a)
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Question 10 (a) 

Explain what it means for a function to be differentiable at the points in terms of limits. 
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 the definition of a derivative at a point is if the limit exists. What must be true for the limit to exist in terms of sided limits? 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. A function is differentiable at the point if the following limit exists Equivalently, is differentiable at the point if the following limit exists 