Find All Relative Extrema of the Function $f ( x ) = \sqrt { 36 - x ^ { 2 } }$

Multiple Choice

Find all relative extrema of the function $f ( x ) = \sqrt { 36 - x ^ { 2 } }$ . Use the Second-Derivative Test when applicable.

A) The relative minimum is $( 0,6 )$ and the relative maximum is $( - 6,0 )$ .
B) The relative maximum is $( 0,6 )$ .
C) The relative minimum is $( 0,6 )$ .
D) The relative maximum is $( 0,6 )$ and the relative minima are $( 6,0 )$ and $( - 6,0 )$ .
E) The relative minimum is $( 0,6 )$ and the relative maximum is $( 6,0 )$ .