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Beliebt Rechnen >

derivative of e^{x^2-4}+2x+9

Lösung

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

Lösung

2 e^{x^{2} - 4} x + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (e^{x^{2} - 4}) = e^{x^{2} - 4} \cdot 2 x

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (9) = 0

= e^{x^{2} - 4} \cdot 2 x + 2 + 0

Vereinfache

= 2 e^{x^{2} - 4} x + 2

Graph

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