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

Let `f_(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x)` where`x in R and k ge1`, then `f_(4)(x)-f_(6)(x)` equals

A

`(1)/(6)`

B

`(1)/(3)`

C

`(1)/(4)`

D

`(1)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
D
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