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拐点与凹凸性计算器
逐步求拐点和凹凸性
该计算器将尝试求出给定函数的凹向和凸向区间以及拐点。
Your input: find the inflection points and intervals of concavity of $$$f=x^{4} - 6 x^{2}$$$
Inflection Points
$$$\left(x, f \left(x \right)\right)=\left(-1,-5\right)$$$
$$$\left(x, f \left(x \right)\right)=\left(1,-5\right)$$$
Concave upward on
$$$\left(-\infty, -1\right) \cup \left(1, \infty\right)$$$
Concave downward on
$$$\left(-1, 1\right)$$$
Graph
For graph, see graphing calculator.
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