Calculadora de puntos de inflexión y concavidad

Encuentra puntos de inflexión y concavidad paso a paso

La calculadora intentará encontrar los intervalos de concavidad y los puntos de inflexión de la función dada.

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.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

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.