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Consider f, g and h be three real valued...

Consider f, g and h be three real valued function defined on R. Let `f(x)=sin3x+cosx,g(x)=cos3x+sinx` and `h(x)=f^(2)(x)+g^(2)(x).` Then,
The length of a longest interval in which the function g=h(x) is increasing, is

A

`(pi)/(8)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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