derivative of x^{(2/3})

Lösung

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

\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}}}

\frac{d y}{d x} = 6 x e^{y}

d er i v a t i v e C (x) = - 9 x^{2} + 500 x + 110

\frac{d}{d x} (\frac{( x - 1 ) ^{4}}{( x ^{2} + 2 x ) ^{5}})

\frac{d}{d y} (e^{x} (x - y)^{2})

\frac{\partial}{\partial x} (cos^{3} (x))