Question

find the maxima and minima of the : f(x)=underroot x for all x belong to [4,16]

Answer 1

\[f(x)=\sqrt{x}\] right?

Answer 2

maxima or minima occurs at points where the derivative (slope) is zero...
ie \[d[f(x)]/dx=0\]
But here the derivative is \[1/2\sqrt{x}\]
which is never zero in the interval...
so there aren't any maxima/minima...