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 = xy = 2x

Question

A. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0.
B. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0.
C. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0.
D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.

Answer 1

Answer: B