For function f(x)= \sin 3 x ; x \in [0, \frac{\pi}{2}] , f is \_\_\_\_ .

Correct Answer is : Increasing in [0,π∕6) and decreasing in (π∕6,π∕2)

Increasing in [0, \frac{\pi}{2}]

Decreasing in [0, \frac{\pi}{2}]

Decreasing in [0, \pi \/ 6) and increasing in (\pi \/ 6, \pi \/ 2)

Increasing in [0, \pi \/ 6) and decreasing in (\pi \/ 6, \pi \/ 2)

GUJCET 2024 Math Paper (04)

Question : 29 of 40

Marks: +1, -0

For function f(x)=sin‌3x;x∈[0,‌

],f is ____ .

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