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Beliebt Rechnen >

derivative derivative of e^{ex}

Lösung

ableitung von

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

Lösung

e^{e x + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{e x} e

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

e^{e x} e = e^{e x + 1}

= e^{e x + 1}

Graph

Beliebte Beispiele

derivative of y=3x^2

\frac{d}{d x} y = 3 x^{2}

derivative derivative of xsin(x)

d er i v a t i v e \frac{d}{d x} (x sin (x))

integral of (1/((x-x^2)))

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

derivative derivative of x/a

d er i v a t i v e \frac{d}{d x} (\frac{x}{a})

derivative derivative of 2e^{-2x}

d er i v a t i v e \frac{d}{d x} (2 e^{- 2 x})