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The length of the longest interval, in w...

The length of the longest interval, in which the function `3sin x-4 sin^3x` is increasing is

A

`(pi)/(3)`

B

`(pi)/(2)`

C

`(3 pi)/(2)`

D

`(pi)`

Text Solution

Verified by Experts

The correct Answer is:
A
`f(x)=3 sinx -4 sin^(3)x=sin 3x`
sin 3x increase in `[(-pi)/(6),(pi)/(6)]`
so interval length `=(pi)/(3)`
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