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Let f(x+y)=f(x)+f(y)+2x y-1 for all real...

Let `f(x+y)=f(x)+f(y)+2x y-1` for all real `xa n dy` and `f(x)` be a differentiable function. If `f^(prime)(0)=cosalpha,` the prove that `f(x)>0AAx in Rdot`

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Knowledge Check

  • f(x+ y) = f(x) f(y) , For AA x and y . If f(3)= 3 and f'(0) =11 then f'(3)= …….

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