A function f(x) satisfies the relation f...

A function f(x) satisfies the relation `f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R`. If f'(0) = - 1, then

A

f (x) is a polynomial funciton

B

f (x) is an exponetial function

C

f (x) is twice differentiable for all `x in R`

D

`f '(3) =8`

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The correct Answer is:

A, C, D

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