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Beliebt Rechnen >

derivative of 1/(e^{-x^2})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

integral of x(1+1/x)^3

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

limit as x approaches+1 of ln(3)+e^x

x \to + 1 lim (ln (3) + e^{x})

integral of (2x^2+24)/(x(x-2)^3)

\int \frac{2 x ^{2} + 24}{x ( x - 2 ) ^{3}} d x

derivative of-x^2-3x+4

\frac{d}{d x} (- x^{2} - 3 x + 4)

integral of 1/(a^2-u^2)

\int \frac{1}{a ^{2} - u ^{2}} d u