derivative of sqrt(1/(x^{27)})

Lösung

\frac{d}{d x} (\frac{1}{x ^{27}})

- \frac{27}{2 x ^{\frac{29}{2}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{27}})

Wende die Kettenregel an:

\frac{1}{2 \frac{1}{x ^{27}}} \frac{d}{d x} (\frac{1}{x ^{27}})

= \frac{1}{2 \frac{1}{x ^{27}}} \frac{d}{d x} (\frac{1}{x ^{27}})

\frac{d}{d x} (\frac{1}{x ^{27}}) = - \frac{27}{x ^{28}}

= \frac{1}{2 \frac{1}{x ^{27}}} (- \frac{27}{x ^{28}})

Vereinfache

\frac{1}{2 \frac{1}{x ^{27}}} (- \frac{27}{x ^{28}}) : - \frac{27}{2 x ^{\frac{29}{2}}}

= - \frac{27}{2 x ^{\frac{29}{2}}}

a re a x = 22 y^{2}, x = 5 y^{3}

x \to 8 lim (sec (\frac{π \cdot x}{6}))

d er i v a t i v e (3 + 2 x) e^{- 3 x}

\frac{d}{d x} (x^{3} + a x^{2} + b x + d)

\frac{d}{d x} ((\frac{2 x - 1}{3 x ^{2} + x - 2})^{3})