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If f (x) be a differentiable function, ...

If `f (x)` be a differentiable function, such that `f (x) f (y) + 2 = f (x) + f (y) + f (xy) ; f' (0) = 0,f(1)=2` then find `f (x)`.

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Knowledge Check

  • Let f (x) is a differentiable function such that f (x + y) = f (x) + f (y) + 2xyAAx, y in R and lim_(x to 0) (f(x))/(x) = 210 , then f (2) is equal

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    10
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    24
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    19

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