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Beliebt Rechnen >

derivative of (x-3^{2/3})

Lösung

\frac{d}{d x} ((x - 3)^{\frac{2}{3}})

Lösung

\frac{2}{3 ( x - 3 ) ^{\frac{1}{3}}}

Schritte zur Lösung

\frac{d}{d x} ((x - 3)^{\frac{2}{3}})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x - 3) = 1

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of (2x)/(4-x^4)

\int \frac{2 x}{4 - x ^{4}} d x

derivative of ln(sqrt(x^3))

\frac{d}{d x} (ln (x^{3}))

derivative of (1/2 x^5)

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

limit as x approaches infinity of (x)^{(ln(2))/(1+ln(x))}

x \to \infty lim ((x)^{\frac{l n ( 2 )}{1 + l n ( x )}})

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