## Calcular as propriedades de uma função passo a passo

A calculadora tentará encontrar o domínio, intervalo, interceptações x, interceptações y, derivada, integral, assíntotas, intervalos de aumento e diminuição, pontos críticos (estacionários), extremos (mínimo e máximo, local, relativo, absoluto e global) pontos, intervalos de concavidade, pontos de inflexão, limite, polinômio de Taylor e gráfico da função de variável única. O intervalo pode ser especificado. A paridade também será determinada.

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 properties of $f=x^{3} - 3 x^{2}$

### Parity

The function is neither even nor odd.

### Domain

$\left(-\infty, \infty\right)$

### x-intercepts

$\left(0,0\right)$

$\left(3,0\right)$

### y-intercepts

$\left(0,0\right)$

### Range

$\left(-\infty, \infty\right)$

### Critical Points

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

$\left(x, f \left(x \right)\right)=\left(2,-4\right)$

### Intervals of Increase

$\left(-\infty, 0\right) \cup \left(2, \infty\right)$

### Intervals of Decrease

$\left(0, 2\right)$

### Local Minima

$\left(x, f \left(x \right)\right)=\left(2,-4\right)$

### Local Maxima

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

### Global (Absolute) Minima and Maxima

For global minima and maxima, see extrema calculator.

### Inflection Points

$\left(x, f \left(x \right)\right)=\left(1,-2\right)$

### Concave upward on

$\left(1, \infty\right)$

### Concave downward on

$\left(-\infty, 1\right)$

### Derivative

For derivative, see derivative calculator.

### Integral

For integral, see integral calculator.

### Asymptotes

For asymptotes, see asymptote calculator.

### Limit

For limit, see limit calculator.

### Taylor Polynomial

For Taylor polynomial, see taylor polynomial calculator.

### Graph

For graph, see graphing calculator.