Let fk(x)=(1)/(k)(sin^(k)x+cos^(k)x) whe...

Let `fk_(x)=(1)/(k)(sin^(k)x+cos^(k)x)` where `x in R` and `kge1`. Then `f_(4)(x)-f_(6)(x)` equals:

A

`(5)/(12)`

B

`(-1)/(12)`

C

`(1)/(4)`

D

`(1)/(12)`

Verified by Experts

The correct Answer is:

D

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