derivative x^{-4/5}

Lösung

ableitung von

x^{- \frac{4}{5}}

- \frac{4}{5 x ^{\frac{9}{5}}}

Schritte zur Lösung

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

Wende die Potenzregel an:

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

= - \frac{4}{5} x^{- \frac{4}{5} - 1}

Vereinfache

- \frac{4}{5} x^{- \frac{4}{5} - 1} : - \frac{4}{5 x ^{\frac{9}{5}}}

= - \frac{4}{5 x ^{\frac{9}{5}}}

t a y l or \frac{3}{x}

\int \frac{x + 1}{x - 1} d x

\int \frac{( - x ^{2} - 1 )}{( x ^{2} - 1 )} d x

\int_{0}^{1} 7 e^{- 4 x} d x

x \to 3 lim (lo g_{4} (3 x - 5))