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Let f be a differentiable function satis...

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

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  • Let f be a differential function satisfying the condition. f((x)/(y))=(f(x))/(f(y))"for all "x,y ( ne 0) in R"and f(y) ne 0 If f'(1)=2 , then f'(x) is equal to

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    D
    none of these

  • Let 'f' be a fifferentiable real valued function satisfying f (x+2y) =f (x) +f (2y) + 6xy (x+2y) AA x, y in R. Then f ' (0), f" (1), f'(2)….. are in

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