derivative of 1/(\sqrt[9]{x})

Lösung

\frac{d}{d x} (\frac{1}{9 x})

- \frac{1}{9 x ^{\frac{10}{9}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{9 x})

Wende Exponentenregel an:

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

= \frac{d}{d x} (x^{- \frac{1}{9}})

Wende die Potenzregel an:

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

= - \frac{1}{9} x^{- \frac{1}{9} - 1}

Vereinfache

- \frac{1}{9} x^{- \frac{1}{9} - 1} : - \frac{1}{9 x ^{\frac{10}{9}}}

= - \frac{1}{9 x ^{\frac{10}{9}}}

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

\int x (sin (x) - cos (x^{2})) d x

y^{^{''}} + 4 y = 3 sin (x)

\frac{d V}{12 - 2 V} = d t, V (0) = 1

\frac{\partial}{\partial x} (\frac{x + 2 y}{3 x + 4 y})