Science:Math Exam Resources/Courses/MATH110/December 2017/Question 02 (d)
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Question 02 (d) 

Determine whether the following statements are true or false. If true, provide an explanation, if false, provide a counterexample. (d) True/False. The function is not differentiable at . 
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? 
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Hint 

Recall that a function is differentiable at a point if its derivative exists at that point. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. By the Hint, we need to determine whether or not exists. By its definition, .
Therefore, is undefined, so is not differentiable at . Answer: . 