Find the Maximum or Minimum Point(s) of the Function $$F ( x ) = \left( 1 - x ^ { 2 } \right) ^ { 2 } + 6 x ^ { 2 }$$

Short Answer

Find the maximum or minimum point(s) of the function.
$$F ( x ) = \left( 1 - x ^ { 2 } \right) ^ { 2 } + 6 x ^ { 2 }$$