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Calculadora de puntos críticos y extremos

Encuentra puntos críticos y extremos paso a paso

La calculadora intentará encontrar los puntos críticos (estacionarios), los máximos y mínimos relativos (locales) y absolutos (globales) de la función de variable única. El intervalo se puede especificar.

Enter a function of one variable:
Enter an interval:
Required only for trigonometric functions. For example, `(-2pi, 3pi)` or `[pi/2, 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 local and global minima and maxima of $$$f=\sqrt{4 - x^{2}}$$$

Critical Points

$$$\left(x, f \left(x \right)\right)=\left(-2,0\right)$$$

$$$\left(x, f \left(x \right)\right)=\left(0,2\right)$$$

$$$\left(x, f \left(x \right)\right)=\left(2,0\right)$$$

Global (Absolute) Minima

$$$\left(x, f \left(x \right)\right)=\left(-2,0\right)$$$

$$$\left(x, f \left(x \right)\right)=\left(2,0\right)$$$

Global (Absolute) Maxima

$$$\left(x, f \left(x \right)\right)=\left(0,2\right)$$$

Local Minima

No local minima.

Local Maxima

$$$\left(x, f \left(x \right)\right)=\left(0,2\right)$$$

Graph

For graph, see graphing calculator.