The function f(x) = sin ^(4)x+ cos ^(4)x...

The function `f(x) = sin ^(4)x+ cos ^(4)x ` increases, if

A

`0 lt x lt (pi)/(8)`

B

`(pi)/(4) lt x lt ( 3pi)/( 8)`

C

`(3pi)/(8) lt x lt ( 5pi)/( 8)`

D

`(5pi)/( 8) lt x lt (3pi)/(4)`

Verified by Experts

The correct Answer is:

B

Now, `(4pi)/(8)gt(3pi)/(8) " " thereforef(x)"in increasing in" ((pi)/(4),(3pi)/(8))`

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