| x2+y3 | ||
Pochodna czaskowa | ||
| xy2 |
| df | (x2+y3)'*(xy2)−(xy2)'*(x2+y3) | 2x*xy2−y2*(x2+y3) | |||
= | = | ||||
| dx | (xy2)2 | x2y4 |
| 2x2y2−x2y2−y5 | y2(2x2−x2−y3) | |||
= | = | |||
| x2y4 | x2y4 |
| x2−y3 | ||
= | ||
| x2y2 |
| df | (x2+y3)'*(xy2)−(xy2)'*(x2+y3) | ||
= | = | ||
| dy | (xy2)2 |
| 3y2*xy2−2xy*(x2+y3) | 3xy4−2x3y−2xy4 | |||
= | = | |||
| x2y4 | x2y4 |
| xy(3y3−2x2−2y3) | y3−2x2 | |||
= | ||||
| x2y4 | xy3 |