Question Number 30439 by abdo imad last updated on 22/Feb/18
$${let}\:{F}\left({x}\right)=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}−\mathrm{1}} }{{n}^{{x}} }\:\:{calculate}\:\frac{{dF}}{{dx}}\left({x}\right). \\ $$
let-F-x-n-1-1-n-1-n-x-calculate-dF-dx-x-