Question #3d2b8

1 Answer
Feb 10, 2018

The answer is #B#, which gives #8#

Explanation:

If we compute the derivatives on both sides of #x = 4#, we see that

#f'(x) = {(8, x < 4), (2x, x ≥ 4):}#

Now we see that when #x = 4#, both values are equal, or give #8#. Thus the function is differentiable and the answer is #b#, or #8#.

Hopefully this helps!