Question

Show that the function f(x) = |x − 2| is not differentiable at 2.

Answer 1

See below

Explanation:

`f(x)=|x-2|\\f'(x)=(x-2)/(|x-2|)\\f'(2)=(2-2)/(|2-2|)=(0)/(0)`

So, the function is not differentiable at x=2.