k(x) = |x - 2|

Question

Compute the derivative (that is, the derivative function) by evaluating the limit

Answer 1

Don't you think it is time for you to try one of these??

Answer 2

Note that the definition of |x| means that
k(x) =
x-2 for x-2 ≥ 0
-(x-2) for x-2 < 0