derivative f(x)=x^{-2/3}

Lösung

ableitung von

f (x) = x^{- \frac{2}{3}}

- \frac{2}{3 x ^{\frac{5}{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{5}{3}}}

= - \frac{2}{3 x ^{\frac{5}{3}}}

\frac{d y}{d x} = \frac{y}{2 x}, y (4) = 1

d er i v a t i v e tan^{2} (2 x)

x \to 0 lim ((3 - 3 e^{- x})^{2})

\int \frac{e ^{9 x}}{x} d x

\frac{d}{d x} (cos (ln (9 x)))