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If f(k) (x) = (1)/(k)(sin^(k) x + cos^(k...

If `f_(k) (x) = (1)/(k)(sin^(k) x + cos^(k)x)` where `x in R,k le 1` the `f_(4)(x)-f_(6)(x)=`

A

`(1)/(6)`

B

`(1)/(3)`

C

`(1)/(9)`

D

`(1)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
D
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