| 1 | 1 | |||
f'(x)= | * | |||
| √2−x | 2√x−1 |
| 1 | 1 | 1 | ||||
f'(x) = | * (√x−1)' = | * | * (x−1)−12 = | |||
| √1−x+1 | √2−x | 2 |
| 1 | ||
f'(x) = | ||
| 2√2−x*√x−1 |
D:
0≤√x−1≤1 /2
0≤x−1≤1 /+1
1≤x≤2
| 1 | ||
nie wiem skąd w mianowniku w pierwszym przekształceniu jest | ||
| √1−x+1 |
| 1 | ||
Wzór: (arcsin(x) )'= | z tablic | |
| √1−x2 |
| 1 | 1 | |||
(arcsin(√x−1) )'= | * | = | ||
| √1−(√x−1)2 | 2√x−1 |
| 1 | 1 | |||
= | * | = | ||
| √1−(x−1) | 2√x−1 |
| 1 | 1 | 1 | ||||
= | * | = | ||||
| √2−x | 2√x−1 | 2√(2−x)*(x−1) |