derivative f(x)=e^{x^4}

Lösung

ableitung von

f (x) = e^{x^{4}}

e^{x^{4}} \cdot 4 x^{3}

Schritte zur Lösung

\frac{d}{d x} (e^{x^{4}})

Wende die Kettenregel an:

e^{x^{4}} \frac{d}{d x} (x^{4})

= e^{x^{4}} \frac{d}{d x} (x^{4})

\frac{d}{d x} (x^{4}) = 4 x^{3}

= e^{x^{4}} \cdot 4 x^{3}

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