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Let f (x= sin ^(6) ((x )/(4)) + cos ^(6)...

Let `f (x= sin ^(6) ((x )/(4)) + cos ^(6) ((x)/(4)). If f ^(n) (x)` denotes `n ^(th)` derivative of f evaluated at x. Then which of the following hold ?

A

`f ^(2014) (0) =-3/8`

B

`f ^(2015) (0) =3/8`

C

`f ^(2010) ((pi)/(2))=0`

D

`f ^(2011) ((pi)/(2)) =3/8`

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The correct Answer is:
A, C, D
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