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Let f(x)=x^3+a x^2+b x+5sin^2x be an inc...

Let `f(x)=x^3+a x^2+b x+5sin^2x` be an increasing function on the set `Rdot` Then find the condition on `a` and `b`.

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

Verified by Experts

The correct Answer is:
C
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