Cot 2 x csc 2 x
| Input |
|---|
| cot(2) x csc(2) x |
| Exact result |
| x^2 cot(2) csc(2) |
| Geometric figure |
| parabola |
| Alternate form assuming x is real |
| (2 x^2 sin(2) sin(4))/(cos(4) – 1)^2 |
| Root |
| x = 0 |
| Polynomial discriminant |
| Delta = 0 |
| Derivative |
| d/dx(cot(2) x csc(2) x) = 2 x cot(2) csc(2) |
| Indefinite integral |
| integral x^2 cot(2) csc(2) dx = 1/3 x^3 cot(2) csc(2) + constant |
| Global maximum |
| max{cot(2) x csc(2) x} = 0 at x = 0 |