\( \text { If } f(x)=\left\{\begin{array}{cc} \int_0^x(5+|1-t|) d t, & x>2 \\ 5 x+1, & x \leq 2 \end{array}\r…

\(
f(x) \text { is not continuous at } x=2
\)

\(
f^{\prime}(x) \text { is not differentiable at } x=1
\)

\(
f(x) \text { is continuous but not differentiable at } x=2
\)

\(
f(x) \text { is everywhere differentiable }
\)