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f-x-2x-100-100-x-100-1-faind-d-100-f-x-dx-100-




Question Number 134237 by mathlove last updated on 01/Mar/21
f(x)=((2x^(100!) )/((100!)!))+x^(100) +1  faind     ((d^(100!) f(x))/dx^(100!) )=?
$${f}\left({x}\right)=\frac{\mathrm{2}{x}^{\mathrm{100}!} }{\left(\mathrm{100}!\right)!}+{x}^{\mathrm{100}} +\mathrm{1} \\ $$$${faind}\:\:\:\:\:\frac{{d}^{\mathrm{100}!} {f}\left({x}\right)}{{dx}^{\mathrm{100}!} }=? \\ $$
Answered by malwan last updated on 01/Mar/21
((d^(100!) f(x))/dx^(100!) ) = ((2×(100!)!)/((100!)!)) + 0 + 0= 2
$$\frac{{d}^{\mathrm{100}!} {f}\left({x}\right)}{{dx}^{\mathrm{100}!} }\:=\:\frac{\mathrm{2}×\left(\mathrm{100}!\right)!}{\left(\mathrm{100}!\right)!}\:+\:\mathrm{0}\:+\:\mathrm{0}=\:\mathrm{2} \\ $$

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