find the interval in which the function f(x)= cos3x, 0<= x<= pie/2 is increasing or decreasing

dear student

f(x)=cos3xf'(x)=-3sin3xf'(x)=0sin3x=03x=nπx=/3for x0,π/2n can only take value n=1x=π/3for x0,π/3, f'(x)=-3sin3x 0and  xπ/3,π/2, f'(x)=-3sin3x 0so f(x) is decreasing in for x0,π/3and increasing for  xπ/3,π/2

regards

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