# Inflection Points and Concavity Calculator

## Find inflection points and concavity step by step

The calculator will try to find the intervals of concavity and the inflection points of the given function.

**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.