derivative of e^{-2.5x^2}

Lösung

\frac{d}{d x} (e^{- 2.5 x^{2}})

- 5 e^{- 2.5 x^{2}} x

Schritte zur Lösung

\frac{d}{d x} (e^{- 2.5 x^{2}})

Wende die Kettenregel an:

e^{- 2.5 x^{2}} \frac{d}{d x} (- 2.5 x^{2})

= e^{- 2.5 x^{2}} \frac{d}{d x} (- 2.5 x^{2})

\frac{d}{d x} (- 2.5 x^{2}) = - 5 x

= e^{- 2.5 x^{2}} (- 5 x)

Vereinfache

= - 5 e^{- 2.5 x^{2}} x

\int p (p + 3)^{4} d p

\int_{- \infty}^{0} e^{x} d x

\int \frac{x + 3}{x ^{2} + 6 x + 10} d x

x \to 5 - lim (\frac{- 3}{x ^{2} - 25})

d er i v a t i v e \frac{10 u ^{2}}{( u ^{2} + u ) ^{3}}