拐點與凹凸性計算器
逐步求出拐點與凹凸性
此計算器會嘗試找出給定函數的凹向區間與凸向區間，以及拐點。
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.