derivative e^{x^2-1}

Lösung

ableitung von

e^{x^{2} - 1}

e^{x^{2} - 1} \cdot 2 x

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{x^{2} - 1} \cdot 2 x

x \to 0 lim (ln (20))

\frac{d}{d x} (\frac{6 e ^{x}}{( 6 + e ^{x} ) ^{2}})

d er i v a t i v e 2 arctan (x)

x \to - 3 lim (7 x^{2})

\int x e^{5 x^{2}} d x