Let f(x) be a differentiable function sa...

Let `f(x)` be a differentiable function satisfying `f(y)f(x/y)=f(x)` `AA`, x,y`in`R, `y!=0` and `f(1)!=0`, `f'(1)=3` then

sgn `(f(x))` is non-differentiable at exactly one point

`lim _(xto0)(x ^(2) (cos x-1))/(f (x))=0`

`f (x) =x` has 3 solutions

`f (f(x))-f ^(3) (x)=0` has infinitely many solutions

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The correct Answer is:

A, B, C, D

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