derivative of-(x^7/7+(x^5)/5)

Lösung

\frac{d}{d x} (- \frac{x ^{7}}{7} + \frac{x ^{5}}{5})

- x^{6} + x^{4}

Schritte zur Lösung

\frac{d}{d x} (- \frac{x ^{7}}{7} + \frac{x ^{5}}{5})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{x ^{7}}{7}) + \frac{d}{d x} (\frac{x ^{5}}{5})

\frac{d}{d x} (\frac{x ^{7}}{7}) = x^{6}

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

= - x^{6} + x^{4}