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Beliebt Rechnen >

derivative (5x+3)^{1/5}

Lösung

ableitung von

(5 x + 3)^{\frac{1}{5}}

Lösung

\frac{1}{( 5 x + 3 ) ^{\frac{4}{5}}}

Schritte zur Lösung

\frac{d}{d x} ((5 x + 3)^{\frac{1}{5}})

Wende die Kettenregel an:

\frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \frac{d}{d x} (5 x + 3)

= \frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \frac{d}{d x} (5 x + 3)

\frac{d}{d x} (5 x + 3) = 5

= \frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \cdot 5

Vereinfache

\frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \cdot 5 : \frac{1}{( 5 x + 3 ) ^{\frac{4}{5}}}

= \frac{1}{( 5 x + 3 ) ^{\frac{4}{5}}}

Graph

Beliebte Beispiele

derivative f(x)=-3/(x^2)

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