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Beliebt Rechnen >

derivative of \sqrt[3]{x+4}

Lösung

\frac{d}{d x} (3 x + 4)

Lösung

\frac{1}{3 ( x + 4 ) ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (3 x + 4)

Wende die Kettenregel an:

\frac{1}{3 ( x + 4 ) ^{\frac{2}{3}}} \frac{d}{d x} (x + 4)

= \frac{1}{3 ( x + 4 ) ^{\frac{2}{3}}} \frac{d}{d x} (x + 4)

\frac{d}{d x} (x + 4) = 1

= \frac{1}{3 ( x + 4 ) ^{\frac{2}{3}}} \cdot 1

Vereinfache

= \frac{1}{3 ( x + 4 ) ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

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