Find the Maximum and Minimum Points of the Function $$F ( x ) = \left( 1 + x ^ { 2 } \right) ^ { 3 } + 6 x ^ { 4 }$$

Find the maximum and minimum points of the function. $$F ( x ) = \left( 1 + x ^ { 2 } \right) ^ { 3 } + 6 x ^ { 4 }$$