Question Number 167392 by DrHZ last updated on 15/Mar/22
$${f}\left({x}\right)={n}! \\ $$$$\frac{{df}\left({x}\right)^{{n}} }{{d}\left({x}\right)^{{n}} }=? \\ $$
Answered by JDamian last updated on 15/Mar/22
$$\mathrm{0} \\ $$
Answered by alephzero last updated on 15/Mar/22
$${f}\left({x}\right)\:\equiv\:\mathrm{constant} \\ $$$$\mathrm{derivative}\:\mathrm{of}\:\mathrm{constant}\:=\:\mathrm{0} \\ $$$$\Rightarrow\:\frac{{df}\left({x}\right)^{{n}} }{{d}\left({x}\right)^{{n}} }\:=\:\mathrm{0} \\ $$