| x | ||
pochodna z | − tgx | |
| cos2x |
| cos2x+2sinxcosx | 1 | ||
− | |||
| cos4x | cos2x |
| 2sinxcosx | sinx | tgx | ||||
= | = 2 | = 2 | ||||
| cos4x | cos3x | cos2x |
| x | ||
f(x) = | − tgx | |
| cos2x |
| cos2x − x * (−2sinxcosx) | 1 | |||
f'(x) = | − | = | ||
| cos4x | cos2x |
| cosx + 2x*sinx − cosx | 2xsinx | ||
= | = 2x * tgx * sec2x | ||
| cos3x | cos3x |