If f(x) =x^(3) +ax^(2)+bx +5 sin^(2) x i...

If `f(x) =x^(3) +ax^(2)+bx +5 sin^(2) x` is an increasing function on R, then

A

`a^(2)-3b-15 lt 0`

B

`a^(2) -3b+15lt 0`

C

`a^(2)-3b-15 gt0`

D

`a^(2)+3b+15gt0`

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