Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = , f(x) is not differentiable at
B. Since limx?1+ f '(x) = while limx?1- f '(x) = 2, f(x) is not differentiable at
C. Since limx?1+ f '(x) = while limx?1- f '(x) = 1, f(x) is not differentiable at
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at
Answer: B
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