| lnx | |
? | |
| x3 |
| {1}{x}*x3−(lnx*3x2) | |
i nie wiem co dalej ;c | |
| x6 |
| ln(x) | ||
y = | ||
| x3 |
| u | ||
y = | u = ln(x) v = w3 w = x | |
| v |
| u | [u']v − u[v]' | |||
y' = [ | ]' = | = *) | ||
| v | v2 |
| 1 | ||
u' = [ln(x)]' = | ||
| x |
| x2 − 3x2ln(x) | x2(1 − 3ln(x)) | ||||||||||
*) = | = | = | = | |||||||||
| x6 | x6 | x6 |
| 1 − 3ln(x) | ||
= | ||
| x4 |
| sinx | |
? | |
| xcosx |