Cubed root of x
| Input |
|---|
| cuberoot(x) |
| Result |
| x^(1/3) |
| Alternate form assuming x>0 |
| x^(1/3) |
| Root |
| x = 0 |
| Series expansion at x=0 |
| piecewise | piecewise | -(-x)^(1/3) + O(x^13) | Im(x)<=0 -(-x)^(1/3)^* + O(x^13) | (otherwise) | x<=0 x^(1/3) + O(x^(37/3)) | (otherwise) |
| Series expansion at x=∞ |
| piecewise | x^(1/3) + O((1/x)^(37/3)) | 1/x>0 -(-x)^(1/3) + O((1/x)^13) | (otherwise) |
| Derivative |
| d/dx(cuberoot(x)) = 1/(3 x^(1/3)^2) |
| Indefinite integral |
| integral cuberoot(x) dx = (3 x x^(1/3))/4 + constant |