# Changes

## Sine-cubed function

, 17:44, 26 August 2011
Key data
| [[period]] || $2\pi$, i.e., $360\,^\circ$
|-
| [[local maximum value]]s and points of attainment || All local maximum values are equal to 1, and they are attained at all points of the form $2n\pi + \pi/2$where $n$ varies over integers.
|-
| [[local minimum value]]s and points of attainment || All local minimum values are equal to -1, and they are attained at all points of the form $2n\pi - \pi/2$where $n$ varies over integers.
|-
| [[point of inflection|points of inflection]] (both coordinates) || All points of the form $(n\pi,0)$, as well as points of the form $(n\pi + \alpha, (-1)^n2\sqrt{2}/3\sqrt{3})$ and $(n\pi + \pi - \alpha, (-1)^n2\sqrt{2}/3\sqrt{3})$ where $\alpha = \arcsin(\sqrt{2/3})$where $n$ varies over integers.
|-
| [[derivative]] || $x \mapsto 3\sin^2x \cos x$
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