Užitím definice derivace urči derivaci zadané funkce v bodě a:
\( \large k\left(x\right)=\sin{\:x},a=0 \)
\( \large k'\left( a\right) = 2 \)
\( \large k'\left( a\right) = 1 \)
\( \large k'\left( a\right) = 0 \)
\( \large k'\left( a\right) = -1 \)