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

Question

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

Answer 1

Answer: C