PLEASE CHOOSE THE CORRECT ANSWER, THANK YOU.

Suppose that f(x) =x" and g(x) = /x|. Then the following composites are both differentiable at x = 0 even though g itself is not differentiable at x = 0. Does this contradict the Chain Rule? Explain. (fog)(x) = |x|" =x and (go f)(x) = x =x2 Choose the correct answer below. O A. Yes, because the Chain Rule says that f and g must be differentiable at all points in order for the composite of f and g to be differentiable. O B. No, because the Chain Rule is guaranteed to work if f and g are differentiable, but can still work when either f or g is not differentiable. O C. Yes, because the Chain Rule does not apply to the absolute value function. O D. No, because the Chain Rule works for all functions, whether they are differentiable or not