If $y ^ { 2 } + \log _ { e } \left( \cos ^ { 2 } x \right) = y , \quad x \in \left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ then:
(1) $y \prime \prime ( 0 ) = 0$\\
(2) $| y \prime ( 0 ) | + | y \prime \prime ( 0 ) | = 1$\\
(3) $| y \prime \prime ( 0 ) | = 2$\\
(4) $| y \prime ( 0 ) | + | y \prime \prime ( 0 ) | = 3$