derivative y=e^{x^2+9x+4}

Lösung

ableitung von

y = e^{x^{2} + 9 x + 4}

e^{x^{2} + 9 x + 4} (2 x + 9)

Schritte zur Lösung

\frac{d}{d x} (e^{x^{2} + 9 x + 4})

Wende die Kettenregel an:

e^{x^{2} + 9 x + 4} \frac{d}{d x} (x^{2} + 9 x + 4)

= e^{x^{2} + 9 x + 4} \frac{d}{d x} (x^{2} + 9 x + 4)

\frac{d}{d x} (x^{2} + 9 x + 4) = 2 x + 9

= e^{x^{2} + 9 x + 4} (2 x + 9)

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