derivative of 1/(\sqrt[5]{x})

Lösung

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

- \frac{1}{5 x ^{\frac{6}{5}}}

Schritte zur Lösung

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

Wende Exponentenregel an:

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

= \frac{d}{d x} (x^{- \frac{1}{5}})

Wende die Potenzregel an:

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

= - \frac{1}{5} x^{- \frac{1}{5} - 1}

Vereinfache

- \frac{1}{5} x^{- \frac{1}{5} - 1} : - \frac{1}{5 x ^{\frac{6}{5}}}

= - \frac{1}{5 x ^{\frac{6}{5}}}

x \to - 2 lim (3 x^{2} + 4 x - 2)

\frac{d y}{d x} = e^{4 x + 3 y}

d er i v a t i v e y = 30 e^{- 0.0000323 h}

x \to 3 - lim (\frac{[ x ] - x}{3 - x})

\int \frac{1}{4 + 9 x ^{2}} d x