| Input |
|---|
| abs(x) |
| Alternate form assuming x>0 |
| x |
| Alternate form assuming x is real |
| sqrt(x^2) |
| Root |
| x = 0 |
| Derivative |
| d/dx(abs(x)) = x/abs(x) (assuming a function from reals to reals) |
| Indefinite integral assuming all variables are real |
| integral abs(x) dx = 1/2 x^2 sgn(x) + constant |
| Global minimum |
| min{abs(x)} = 0 at x = 0 |