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Let f(x)=x^3+ax^2+bx+5sin^2x be an incre...

Let `f(x)=x^3+ax^2+bx+5sin^2x` be an increasing function in the set of real numbers `R` Then `a` and `b` satisfy the condition

A

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

B

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

C

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

D

`a gt 0 and b gt 0`

Text Solution

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The correct Answer is:
C
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