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Letf(4)(x) = (1)/(k) [ sin^(k) + cos^(k)...

Let`f_(4)(x) = (1)/(k) [ sin^(k) + cos^(k) x ] `where x `in RR` and `k ge`1.
then `f_(4)(x) - f_(6)(x)` =

A

`(1)/(4)`

B

`(1)/(12)`

C

`(1)/(6)`

D

`(1)/(3)`

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