derivative of (9x+2^{2/3})

Lösung

\frac{d}{d x} ((9 x + 2)^{\frac{2}{3}})

\frac{6}{( 9 x + 2 ) ^{\frac{1}{3}}}

Schritte zur Lösung

\frac{d}{d x} ((9 x + 2)^{\frac{2}{3}})

Wende die Kettenregel an:

\frac{2}{3 ( 9 x + 2 ) ^{\frac{1}{3}}} \frac{d}{d x} (9 x + 2)

= \frac{2}{3 ( 9 x + 2 ) ^{\frac{1}{3}}} \frac{d}{d x} (9 x + 2)

\frac{d}{d x} (9 x + 2) = 9

= \frac{2}{3 ( 9 x + 2 ) ^{\frac{1}{3}}} \cdot 9

Vereinfache

\frac{2}{3 ( 9 x + 2 ) ^{\frac{1}{3}}} \cdot 9 : \frac{6}{( 9 x + 2 ) ^{\frac{1}{3}}}

= \frac{6}{( 9 x + 2 ) ^{\frac{1}{3}}}

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