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Beliebt Rechnen >

derivative of 3(5-8x^5)

Lösung

\frac{d}{d x} (3 (5 - 8 x)^{5})

Lösung

- 120 (5 - 8 x)^{4}

Schritte zur Lösung

\frac{d}{d x} (3 (5 - 8 x)^{5})

Entferne die Konstante:

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

= 3 \frac{d}{d x} ((5 - 8 x)^{5})

Wende die Kettenregel an:

5 (5 - 8 x)^{4} \frac{d}{d x} (5 - 8 x)

= 5 (5 - 8 x)^{4} \frac{d}{d x} (5 - 8 x)

\frac{d}{d x} (5 - 8 x) = - 8

= 3 \cdot 5 (5 - 8 x)^{4} (- 8)

Vereinfache

= - 120 (5 - 8 x)^{4}

Graph

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