Differentiation 1

Calculus Level 3

Suppose A=dydxA=\frac { dy }{ dx } of x2+y2=4{ x }^{ 2 }+{ y }^{ 2 }=4 at (2,2),B=dydx\left( \sqrt { 2 } ,\sqrt { 2 } \right) ,B=\frac { dy }{ dx } of siny+sinx=sinx.siny\sin { y } +\sin { x } =\sin { x } .\sin { y } at (π,π)\left( \pi ,\pi \right) and C=dydxC=\frac { dy }{ dx } of 2exy+exeyexey=exy+1{ 2e }^{ xy }+{ e }^{ x }{ e }^{ y }-{ e }^{ x }-{ e }^{ y }={ e }^{ xy+1 } at (1,1)\left( 1,1 \right) , then (A+B+C)(A+B+C) has a value equal to

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