pochodna
serpentina: Oblicz pochodną:
(2x−5)*3√x2
7 maj 21:13
Dziadek Mróz:
y = u*v u = 2x − 5 v =
3√w w = x
2
y' = u'v + uv' = (1) ...
u' = [2x − 5]' = 2
| | 1 | | 1 | |
v' = [3√w]' = [w1/3]' = |
| w−2/3 * w' = |
| * w' = (2) ... |
| | 3 | | 33√w2 | |
w' = [x
2]' = 2x
| | 1 | | 2x | |
... (2) = |
| * 2x = |
| |
| | 33√x4 | | 33√x4 | |
| | 2x | |
... (1) = 23√x2 + (2x − 5) |
| |
| | 33√x4 | |
7 maj 21:50