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Consider f(x)=sin3x,0 le x le pi/2, then...

Consider `f(x)=sin3x,0 le x le pi/2`, then
a) `f(x)` is increasing for `x in (0,pi/6)` and decreasing for `x in (pi/6,pi/2)`
b) `f(x)` is increasing for `x in (0,pi/4)` and decreasing for `x in (pi/4,pi/2)`
c) `f(x)` is decreasing for `x in (0,pi/6)` and increasing for `x in (pi/6,pi/2)`
d) `f(x)` is decreasing for `x in (0,pi/4)` and increasing for `x in (pi/4,pi/2)`

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