Ответ:
найдем производную
[tex](2x^{4}-16x^{2} )' = 8x^{3} -32x[/tex]
[tex]8x^{3}-32x\geq 0\\ x^{3} -4x\geq 0\\x(x^{2} -4)\geq 0\\x(x-2)(x+2)\geq 0[/tex]
x∈[-2;0] ∪ [2; +∞]
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Answers & Comments
Ответ:
найдем производную
[tex](2x^{4}-16x^{2} )' = 8x^{3} -32x[/tex]
[tex]8x^{3}-32x\geq 0\\ x^{3} -4x\geq 0\\x(x^{2} -4)\geq 0\\x(x-2)(x+2)\geq 0[/tex]
x∈[-2;0] ∪ [2; +∞]