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Beliebt Rechnen >

derivative \sqrt[5]{2x}

Lösung

ableitung von

5 2 x

Lösung

\frac{2 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

Schritte zur Lösung

\frac{d}{d x} (5 2 x)

Wende die Kettenregel an:

\frac{1}{5 ( 2 x ) ^{\frac{4}{5}}} \frac{d}{d x} (2 x)

= \frac{1}{5 ( 2 x ) ^{\frac{4}{5}}} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= \frac{1}{5 ( 2 x ) ^{\frac{4}{5}}} \cdot 2

Vereinfache

\frac{1}{5 ( 2 x ) ^{\frac{4}{5}}} \cdot 2 : \frac{2 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

= \frac{2 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

Graph

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