Calculadora de Pontos Críticos e Extrema

Encontre pontos críticos e extremos passo a passo

A calculadora tentará encontrar os pontos críticos (estacionários), os máximos e mínimos relativos (locais) e absolutos (globais) da função de variável única. O intervalo pode ser especificado.

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 $$$f=10 x^{2} + 6 x$$$

Critical Points

$$$\left(x, f \left(x \right)\right)=\left(- \frac{3}{10},- \frac{9}{10}\right)\approx \left(-0.3,-0.9\right)$$$

Global (Absolute) Minima

$$$\left(x, f \left(x \right)\right)=\left(- \frac{3}{10},- \frac{9}{10}\right)\approx \left(-0.3,-0.9\right)$$$

Global (Absolute) Maxima

No global maxima.

Local Minima

$$$\left(x, f \left(x \right)\right)=\left(- \frac{3}{10},- \frac{9}{10}\right)\approx \left(-0.3,-0.9\right)$$$

Local Maxima

No local maxima.

Graph

For graph, see graphing calculator.