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Beliebt Rechnen >

derivative of (x+8^{2/3})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of (3(x+1)+4)/(x(2x+7)+3)

\int \frac{3 ( x + 1 ) + 4}{x ( 2 x + 7 ) + 3} d x

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x \to 0 lim (\frac{( x ^{2} - 3 x )}{x})

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\int (x^{2} sin (x^{3})) d x