| 3 | |
| √6x+1 |
| 1 | 6 | 3 | ||||
f '(x) = | *( 6 x + 1) ' = | = | ||||
| 2√ 6 x + 1 | 2 √6 x + 1 | √6 x + 1 |
| 1 | ||
pochodna z √blabla = | * pochodna z blabla. | |
| 2 * √blabla |
| 1 | 1 | 3 | ||||
(√6x+1) ' = | * (6x+1) ' = | * 6 = | ||||
| 2√6x+1 | 2√6x+1 | √6x+1 |
| √6x+6Δx+1−√6x+1 | ||
limΔx→0 | ||
| Δx |
| (√6x+6Δx+1−√6x+1)(√6x+6Δx+1+√6x+1) | ||
limΔx→0 | ||
| Δx(√6x+6Δx+1+√6x+1) |
| 6x+6Δx+1−(6x+1) | ||
limΔx→0 | ||
| Δx(√6x+6Δx+1+√6x+1) |
| 6Δx | ||
limΔx→0 | ||
| Δx(√6x+6Δx+1+√6x+1) |
| 6 | 3 | |||
limΔx→0 | = | |||
| √6x+6Δx+1+√6x+1 | √6x+1 |