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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-15gt0`

B

`a^2-2b+15 gt0`

C

`a^2-3b+15lt0`

D

`a gt 0 and b gt 0`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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