derivative of e^{-x^8}

Lösung

\frac{d}{d x} (e^{- x^{8}})

- 8 e^{- x^{8}} x^{7}

Schritte zur Lösung

\frac{d}{d x} (e^{- x^{8}})

Wende die Kettenregel an:

e^{- x^{8}} \frac{d}{d x} (- x^{8})

= e^{- x^{8}} \frac{d}{d x} (- x^{8})

\frac{d}{d x} (- x^{8}) = - 8 x^{7}

= e^{- x^{8}} (- 8 x^{7})

Vereinfache

= - 8 e^{- x^{8}} x^{7}

a re a x^{3} - 12 x^{2} + 27 x, - x^{3} + 12 x^{2} - 27 x

d er i v a t i v e x^{\frac{x}{3}}

f^{^{'}} (x) = 6 x^{2}

n = 1 \sum \infty \frac{2 ^{n}}{4 ^{n}}

x \to 0 lim (\frac{1 - cos ( 3 x )}{1 - cos ( 7 x )})