Указать промежутки монотонности для функции:

f(x)=x^3-4x

[tex]y=x^3-4x\\\\y'=3x^2-4=0\\\\x^2=\frac{4}{3},\; x_{1,2}=\pm \frac{2}{\sqrt3}\\\\++++(-\frac{2}{\sqrt3})----(\frac{2}{\sqrt3})+++++\\\\Vozrastaet:\; (-\infty,-\frac{2}{\sqrt3}),(\frac{2}{\sqrt3},+\infty0\\\\Ybuvaet:\; (-\frac{2}{\sqrt3},\frac{2}{\sqrt3})\\\\x_{max}=-\frac{2}{\sqrt3},\; x_{min}=\frac{2}{\sqrt3}[/tex]

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