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Kalkylator för inflektionspunkter och konkavitet

Hitta inflektionspunkter och konkavitet steg för steg

Kalkylatorn kommer att försöka hitta konkavitetsintervallen och böjpunkterna för den givna funktionen.

Enter a function of one variable:
Enter an interval:
Required only for trigonometric functions. For example, `[0, 2pi]` or `(-pi, oo)`. If you need `oo`, type inf.

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Your input: find the inflection points and intervals of concavity of $$$f=\frac{x^{2}}{2} + \sin{\left(x \right)}$$$ on the interval $$$\left[0, 2 \pi\right]$$$

Inflection Points

No inflection points.

Concave upward on

$$$\left(0, \frac{\pi}{2}\right) \cup \left(\frac{\pi}{2}, 2 \pi\right)\approx \left(0, 1.5707963267949\right) \cup \left(1.5707963267949, 6.28318530717959\right)$$$

Concave downward on

$$$\emptyset$$$

Graph

For graph, see graphing calculator.

Relaterad anteckning: Inflection Points