derivative of 1\sqrt[3]{x}

Lösung

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

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

Schritte zur Lösung

\frac{d}{d x} (1 \cdot 3 x)

Vereinfache

1 \cdot 3 x : 3 x

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

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

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

Wende die Potenzregel an:

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

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

Vereinfache

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

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

\frac{\partial}{\partial x} (2 ln (x^{2} + y^{2}))

\frac{\partial}{\partial x} (e^{x + t})

\frac{\partial}{\partial x} (6 e^{x y})

\frac{d}{d x} (e^{x} - x - 1)

y^{^{'}} + y - x^{2} - 2 x = 0