Oblicz pochodną
Bet: f(x)=sin(cos12x)
f(x)=−(sin2x)−1
f(x)=3x2*1x(x3+1)
f(x)=−(cosx)−2*(−sinx)
2 sty 11:09
Student:
1) pochodna z sinusa to cosinus
2) pochodna z cosinusa to minus sinus
| | 1 | | 1 | |
3) pochodna z |
| to − |
| |
| | 2x | | 2x2 | |
Zatem
| | 1 | | 1 | | 1 | |
f'(x) = cos(cos |
| ) * (−sin |
| ) * (− |
| ) |
| | 2x | | 2x | | 2x2 | |
2 sty 13:38