| 2x−3y | ||
f(x,y) | ||
| x+y |
| ∂f | (2x−3y)' * (x+y) − (x+y)' * (2x−3y) | 2(x+y) − (2x−3y) | |||
= | = | = | |||
| ∂x | (x+y)2 | (x+y)2 |
| 2x + 2y − 2x + 3y | 5y | |||
= | = | |||
| (x+y)2 | (x+y)2 |
| ∂f | (2x−3y)' * (x+y) − (x+y)' * (2x−3y) | −3(x+y) − (2x − 3y) | |||
= | = | = | |||
| ∂y | (x+y)2 | (x+y)2 |
| −3x − 3y − 2x + 3y | 5x | |||
= | = − | |||
| (x+y)2 | (x+y)2 |
| ∂f | d | ||
rózni się czymś od | ? | ||
| ∂x | dx |