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Beliebt Rechnen >

derivative g(x)=3(5-7x)^5

Lösung

ableitung von

g (x) = 3 (5 - 7 x)^{5}

Lösung

- 105 (5 - 7 x)^{4}

Schritte zur Lösung

\frac{d}{d x} (3 (5 - 7 x)^{5})

Entferne die Konstante:

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

= 3 \frac{d}{d x} ((5 - 7 x)^{5})

Wende die Kettenregel an:

5 (5 - 7 x)^{4} \frac{d}{d x} (5 - 7 x)

= 5 (5 - 7 x)^{4} \frac{d}{d x} (5 - 7 x)

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

= 3 \cdot 5 (5 - 7 x)^{4} (- 7)

Vereinfache

= - 105 (5 - 7 x)^{4}

Graph

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