(1) Find the vaue of \(\frac { d y } { d x }\) of the following implictthy given functions atthe points specitied
(a) Find \(\frac { d y } { d x }\) at \(( 1 , - 1 )\) when \(y ^ { 3 } + 3 x ^ { 2 } y + 3 x y ^ { 2 } + x ^ { 3 } = 0\)
(b) Find \(\frac { d y } { d x }\) at \(( \frac { \sqrt { \pi } } { 2 } , \frac { \sqrt { \pi } } { 2 } )\) , when \(\sin ( x y ) - \cos ( x y )\) \(= 0\)