The graph of $~f(x)\,$, continuous for $~x\in[-4,7]\,$, is shown below. The graph consists of a quarter-circle of radius $~5~$ and two quarter-circles of radius $~3~$ units.
**Complete the table below.**
$x$|$(-4,1)$|$1$|$(1,4)$|$4$|$(4,7)$
:-:|:-:|:-:|:-:|:-:|:-:
$f\,^\prime(x)$|negative|[[☃ dropdown 1]]|negative|$0$|negative
$f\,^{\prime \prime} (x)$|[[☃ dropdown 2]]|undefined|[[☃ dropdown 3]]|$0$|[[☃ dropdown 4]]|