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Beliebt Vorkalkül >

derivative f(x)=x^{2/3}

Lösung

ableitung von

f (x) = x^{\frac{2}{3}}

Lösung

\frac{2}{3 x ^{\frac{1}{3}}}

Schritte zur Lösung

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Vereinfache

\frac{2}{3} x^{\frac{2}{3} - 1} : \frac{2}{3 x ^{\frac{1}{3}}}

= \frac{2}{3 x ^{\frac{1}{3}}}

Graph

Beliebte Beispiele

derivative y=(x^2+3)^2

d er i v a t i v e y = (x^{2} + 3)^{2}

derivative y=arctan(x-sqrt(1+x^2))

d er i v a t i v e y = arctan (x - 1 + x^{2})

derivative f(x)=x^3e^x

d er i v a t i v e f (x) = x^{3} e^{x}

tangent f(x)=3x^2,\at x=2

t an g e n t f (x) = 3 x^{2}, at x = 2

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