Let f be a differentiable function satisfying the condition f ( x y ) = f(x) f(y) ; (y 0, f(y) 0) x, y R and f'(1) = 2 . If the smaller area enclosed by y = f(x) , x^2 + y^2 = 2 is A , then find [A] , where [ ] represents the greatest integ

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Let f be a differentiable function satisfying the condition f ( x y ) = f(x) f(y) ; (y 0, f(y) 0) x, y R and f'(1) = 2 . If the smaller area enclosed by y = f(x) , x^2 + y^2 = 2 is A , then find [A] , where [ ] represents the greatest integer function.

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Let f be a differentiable function satisfying the condition f ( x y ) = f(x) f(y) ; (y 0, f(y) 0) x, y R and f'(1) = 2 . If the smaller area enclosed by y = f(x) , x^2 + y^2 = 2 is A , then find [A] , where [ ] represents the greatest integer function.

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