derivative f(x)=e^{x^2+1}

Lösung

ableitung von

f (x) = 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

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