# Differentiation 1

Calculus Level 3

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