f(x)=1/8*(x^(-1)-x)=1/8*x^(-1)-1*x^(1)
Konstantenregel (a*f(x))´=a*f´(x)
Potenzregel (x^(k))´=k*x^(k-1) mit x ungleich NULL für k<0
Summenregel f´(x)=f´1(x)+/-f´2(x)+/-...f´n(x)
f´(x)=1/8*(-1)*x^(-1-1)-1*1*x^(1-1)=-1/8*x^(-2)-1*x^(0) mit x⁰=1
f´(x)=-1/8*x^(-2)-1
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