| Input |
|---|
| x^0.1 |
| Root |
| x = 0 |
| Derivative |
| d/dx(x^0.1) = 0.1/x^0.9 |
| Indefinite integral |
| integral x^0.1 dx = 0.909091 x^(11/10) + constant |
| Global minimum |
| min{x^0.1} = 0 at x = 0 |
| Series representation |
| x^0.1 = sum_(n=0)^infinity binomial(1/10, n) (-1 + x)^n for abs(1 – x)<1 |
| Integral representation |
| (1 + z)^a = ( integral_(-i infinity + gamma)^(i infinity + gamma) (Gamma(s) Gamma(-a – s))/z^s ds)/((2 pi i) Gamma(-a)) for (0 |