Rational function/R/Determine derivative/x^n/n in Z/Exercise

Determine the derivative of the function

$f\colon D=\mathbb {R} \setminus \{0\}\longrightarrow \mathbb {R} ,x\longmapsto f(x)=x^{n},$

for all

${}n\in \mathbb {Z}$.

Create a solution