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Beliebt Rechnen >

derivative of \sqrt[3]{x+8}

Lösung

\frac{d}{d x} (3 x + 8)

Lösung

\frac{1}{3 ( x + 8 ) ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (3 x + 8)

Wende die Kettenregel an:

\frac{1}{3 ( x + 8 ) ^{\frac{2}{3}}} \frac{d}{d x} (x + 8)

= \frac{1}{3 ( x + 8 ) ^{\frac{2}{3}}} \frac{d}{d x} (x + 8)

\frac{d}{d x} (x + 8) = 1

= \frac{1}{3 ( x + 8 ) ^{\frac{2}{3}}} \cdot 1

Vereinfache

= \frac{1}{3 ( x + 8 ) ^{\frac{2}{3}}}

Graph

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