Suppose \(A=\frac { dy }{ dx } \) of \({ x }^{ 2 }+{ y }^{ 2 }=4\) at \(\left( \sqrt { 2 } ,\sqrt { 2 } \right) ,B=\frac { dy }{ dx } \) of \(\sin { y } +\sin { x } =\sin { x } .\sin { y } \) at \(\left( \pi ,\pi \right) \) and \(C=\frac { dy }{ dx } \) of \({ 2e }^{ xy }+{ e }^{ x }{ e }^{ y }-{ e }^{ x }-{ e }^{ y }={ e }^{ xy+1 }\) at \(\left( 1,1 \right) \) , then \((A+B+C)\) has a value equal to

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