derivative y=(1-5x)^6

Lösung

ableitung von

y = (1 - 5 x)^{6}

- 30 (1 - 5 x)^{5}

Schritte zur Lösung

\frac{d}{d x} ((1 - 5 x)^{6})

Wende die Kettenregel an:

6 (1 - 5 x)^{5} \frac{d}{d x} (1 - 5 x)

= 6 (1 - 5 x)^{5} \frac{d}{d x} (1 - 5 x)

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

= 6 (1 - 5 x)^{5} (- 5)

Vereinfache

= - 30 (1 - 5 x)^{5}

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