pochodna funkcji
Baelish: Pochodna funkcji y= x3 ln 2x ?
2 lis 10:34
Dziadek Mróz:
y = x
3ln(2x)
y = uv u = x
3 v = ln(w) w = 2x
y' = [uv]' = [u]'v + u[v]' = *)
u' = [x
3]' = 2x
2
| | 1 | |
v' = [ln(w)]' = |
| * [w]' = **) |
| | w | |
w' = [2x]' = 2
| | 1 | |
*) = 2x2*ln(2x) + x3* |
| = 2x2ln(2x) + x2 = x2(2ln(2x) + 1) |
| | x | |
2 lis 10:40
Baelish: [x3]'= 3x2 ?
2 lis 10:43
Dziadek Mróz:
Tak, moja gafa
2 lis 11:33