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Beliebt Rechnen >

derivative of 2(5-9x^5)

Lösung

\frac{d}{d x} (2 (5 - 9 x)^{5})

Lösung

- 90 (5 - 9 x)^{4}

Schritte zur Lösung

\frac{d}{d x} (2 (5 - 9 x)^{5})

Entferne die Konstante:

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

= 2 \frac{d}{d x} ((5 - 9 x)^{5})

Wende die Kettenregel an:

5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

= 5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

\frac{d}{d x} (5 - 9 x) = - 9

= 2 \cdot 5 (5 - 9 x)^{4} (- 9)

Vereinfache

= - 90 (5 - 9 x)^{4}

Graph

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