Question Number 131073 by Algoritm last updated on 01/Feb/21
Answered by mr W last updated on 01/Feb/21
$${F}\:'\left({x}\right)={e}^{\left(\mathrm{ln}\:{x}\right)^{\mathrm{100}} } \frac{\mathrm{1}}{{x}} \\ $$$${F}\:'\left({e}\right)={e}^{\left(\mathrm{ln}\:{e}\right)^{\mathrm{100}} } \frac{\mathrm{1}}{{e}}={e}×\frac{\mathrm{1}}{{e}}=\mathrm{1} \\ $$