derivative f(x)= 3/(x^2)+5/(x^4)

Lösung

ableitung von

f (x) = \frac{3}{x ^{2}} + \frac{5}{x ^{4}}

- \frac{6}{x ^{3}} - \frac{20}{x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (\frac{3}{x ^{2}} + \frac{5}{x ^{4}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{3}{x ^{2}}) + \frac{d}{d x} (\frac{5}{x ^{4}})

\frac{d}{d x} (\frac{3}{x ^{2}}) = - \frac{6}{x ^{3}}

\frac{d}{d x} (\frac{5}{x ^{4}}) = - \frac{20}{x ^{5}}

= - \frac{6}{x ^{3}} - \frac{20}{x ^{5}}