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Let f(x)=2sin^(3)x-3sin^(2)x+12sinx+5,0l...

Let `f(x)=2sin^(3)x-3sin^(2)x+12sinx+5,0lexlepi//2` . Then f(x) is

A

decreasing in `[0,pi//2]`

B

increasing in `[0,pi//2]`

C

increasing in `[0,pi//4]` and decreasing in `[pi//4,pi//2]`

D

increasing in `[0,pi//4]`

Text Solution

Verified by Experts

The correct Answer is:
B
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