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 =
y = -1
A. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 1, f(x) is not differentiable at
B. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = -1, f(x) is not differentiable at
C. Since limx?-1+ f '(x) = -1 while limx?-1- f '(x) = 0, f(x) is not differentiable at
D. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 0, f(x) is differentiable at
Answer: B
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