Calculate the first five derivatives of $f(x) = \sin\!\left(x\right)$. Then determine $f^{(12)}$ and $f^{(21)}$.

$f'(x) =$
$f''(x) =$
$f^{(3)} (x) =$
$f^{(4)} (x) =$
$f^{(5)} (x) =$

$f^{(12)} (x) =$
$f^{(21)} (x) =$

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