Question

If f(x) = 2 + | x-3 | for all x, then the value of the derivative f'(x) at x = 3 is.

Answer 1

Undefined

Explanation:

`f(x)=2+|x-3|\\f'(x)=(x-3)/(|x-3|)\\f'(3)=(3-3)/(|3-3|)=(0)/(0)`

Therefore, the function is not differentiable at x=3