pochodna fukncji złożonej
latrala: Wyznacz pochodną
| | 3−x | | √3−x | |
f(x)= √ |
| = |
| |
| | 2x+1 | | √2x+1 | |
| | | 1 | | 1 | |
| * (−1)* √2x+1 − √3−x * |
| *2 | | 2√3−x | | 2√2x+1 | |
| |
f'(x)= |
| = |
| | √2x+12 | |
| | | | √2x+1 | | 2√3−x | | − |
| − |
| | | | 2√3−x | | 2√2x+1 | |
| |
= |
| =... |
| | √2x+12 | |
czy dobrze to jest? jak tak to co dalej z tym robić?
odp. do tego zadania to
| | 7 | | 2x+1 | | 1 | |
− |
| * √ |
| * |
| |
| | 2 | | 3−x | | (2x+1)2 | |