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f'(sin^(2)x)lt f'(cos^(2)x) for x in...

`f'(sin^(2)x)lt f'(cos^(2)x)` for `x in`

A

`(-(pi)/(4),(pi)/(4))`

B

`(-(pi)/(2),-(pi)/(4))uu(pi)/(4),(pi)/(2))`

C

`(-(pi)/(4),0)uu(pi)/(4),(pi)/(2))`

D

`(-(pi)/(2),(pi)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
`f'(sin^(2)x)ltf'(cos^(2)x) rArr sin^(2)x lt cos^(2)x rArr tan^(2) x lt 1`
`rArr x in (-(pi)/(4),(pi)/(4))`
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