| 1 | ||
ln(x+√x2+1)' = | * (x * √x2+1)' | |
| x+√x2+1 |
| 1 | |
* [ (x)' + (√x2 + 1)' ] | |
| x+√x2+1 |
| 1 | 1 | ||
* 1 + | * (x2+1)' | ||
| x+√x2+1 | 2√x2 + 1 |
| 1 | 1 | ||
* 1 + | * 2x | ||
| x+√x2+1 | 2√x2 + 1 |
| 1 | 2x | ||
+ | |||
| x+√x2+1 | 2√x2 + 1 |
| 1*(2√x2+1 + 2x*(x+√x2+1) | |
| (x+√x2+1)(2√x2+1) |
| 2√x2+1 + 2x2 + 2x√x2+1 | |
| (x+√x2+1)(2+√x2+1) |