変曲点と凹凸の計算機
変曲点と凹凸を段階的に求める
この計算機は、与えられた関数の凹凸の区間および変曲点を求めることを試みます。
Your input: find the inflection points and intervals of concavity of $$$f=x e^{- 5 x}$$$
Inflection Points
$$$\left(x, f \left(x \right)\right)=\left(\frac{2}{5},\frac{2}{5 e^{2}}\right)\approx \left(0.4,0.0541341132946451\right)$$$
Concave upward on
$$$\left(\frac{2}{5}, \infty\right)= \left(0.4, \infty\right)$$$
Concave downward on
$$$\left(-\infty, \frac{2}{5}\right)= \left(-\infty, 0.4\right)$$$
Graph
For graph, see graphing calculator.
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