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Beliebt Rechnen >

derivative of (x^5-2x/(-5))

Lösung

\frac{d}{d x} (\frac{x ^{5} - 2 x}{- 5})

Lösung

- x^{4} + \frac{2}{5}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{5} - 2 x}{- 5})

Vereinfache

\frac{x ^{5} - 2 x}{- 5} : - \frac{x ^{5} - 2 x}{5}

= \frac{d}{d x} (- \frac{x ^{5} - 2 x}{5})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{1}{5} \frac{d}{d x} (x^{5} - 2 x)

Wende die Summen-/Differenzregel an:

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

= - \frac{1}{5} (\frac{d}{d x} (x^{5}) - \frac{d}{d x} (2 x))

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

\frac{d}{d x} (2 x) = 2

= - \frac{1}{5} (5 x^{4} - 2)

Vereinfache

- \frac{1}{5} (5 x^{4} - 2) : - x^{4} + \frac{2}{5}

= - x^{4} + \frac{2}{5}

Graph

Beliebte Beispiele

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\int_{\frac{π}{6}}^{\frac{π}{4}} cos (x) d x

taylor s(t)=5^t

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