derivative e^{x^e}

Lösung

ableitung von

e^{x^{e}}

e^{x^{e} + 1} x^{e - 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{x^{e}} e x^{e - 1}

Wende Exponentenregel an:

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

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

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

x \to 6 - lim (x - 6)

\int \frac{( 2 x + 1 )}{x ^{2} - 2 x + 5} d x

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