Absolute value of x divided by x
| Input |
|---|
| (abs(x))/x |
| Alternate form |
| 1/(sgn(x)) |
| Alternate form assuming x is positive |
| 1 (for x!=0) |
| Alternate form assuming x is real |
| sqrt(x^2)/x |
| Roots |
| (no roots exist) |
| Indefinite integral assuming all variables are real |
| integral (abs(x))/x dx = x sgn(x) + constant |
| Global maxima |
| max{(abs(x))/x} = 1 for x>=0 |
| Global minima |
| min{(abs(x))/x} = -1 for x<0 |