The function $f(x)= |x+1-x|$ is: |
continuous and differentiable at $x=0$ only continuous at $x=0$ but nowhere differentiable continuous everywhere and differentiable at all points. continuous but not differentiable at $x=1$ |
continuous everywhere and differentiable at all points. |
Explanation: As f(x)= 1 is a constant function Hence, It is differentiable as well as continuous at all points. |