Let f(x)=3 - |(x^2)-4| . Which of the following statements are true?

A. the limit as x approaches 2 from the right does not exists
B. f is differentiable at x = -2
C. f '(0) = 0
D. f '(1) = -2
E. f '(-1) = 2

Did you give it a go? Graph the function and look at x=-2 and x=2. Is it differentiable there? For the last three, all you have to do is differentiate and plug in what they give you and see if you get that answer.

Look at the graph, what does it approach as x appraoches 2 from the right?