$$y \cdot a ^ { n } \cdot a ^ { n } \cdot n ^ { a } \quad \frac { d y } { d n } = ?$$
$0$
$\left(a>0\text{ and }n=0\right)\text{ or }\left(a>0\text{ and }n<0\text{ and }Denominator(a)\text{bmod}2=1\right)\text{ or }\left(a<0\text{ and }Denominator(n)\text{bmod}2=1\text{ and }n>0\right)\text{ or }\left(a<0\text{ and }Denominator(n)\text{bmod}2=1\text{ and }n<0\text{ and }Denominator(a)\text{bmod}2=1\right)\text{ or }\left(n>0\text{ and }a\geq 0\right)$
$0$
$\left(a>0\text{ and }n=0\right)\text{ or }\left(a>0\text{ and }n<0\text{ and }Denominator(a)\text{bmod}2=1\right)\text{ or }\left(a<0\text{ and }Denominator(n)\text{bmod}2=1\text{ and }n>0\right)\text{ or }\left(a<0\text{ and }Denominator(n)\text{bmod}2=1\text{ and }n<0\text{ and }Denominator(a)\text{bmod}2=1\right)\text{ or }\left(n>0\text{ and }a\geq 0\right)$
