| Input |
|---|
| X abs(x) |
| Alternate form assuming x and X are positive |
| x X |
| Alternate form assuming x and X are real |
| sqrt(x^2) X |
| Root |
| x = 0 |
| Derivative |
| d/(dx)(X abs(x)) = (x X)/abs(x) (assuming a function from reals to reals) |
| Indefinite integral assuming all variables are real |
| integral X abs(x) dx = 1/2 x^2 X sgn(x) + constant |