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Beliebt Rechnen >

derivative f(x)=7e^{(3x^2-2x+7)}

Lösung

ableitung von

f (x) = 7 e^{(3 x^{2} - 2 x + 7)}

Lösung

7 e^{3 x^{2} - 2 x + 7} (6 x - 2)

Schritte zur Lösung

\frac{d}{d x} (7 e^{3 x^{2} - 2 x + 7})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (e^{3 x^{2} - 2 x + 7})

Wende die Kettenregel an:

e^{3 x^{2} - 2 x + 7} \frac{d}{d x} (3 x^{2} - 2 x + 7)

= e^{3 x^{2} - 2 x + 7} \frac{d}{d x} (3 x^{2} - 2 x + 7)

\frac{d}{d x} (3 x^{2} - 2 x + 7) = 6 x - 2

= 7 e^{3 x^{2} - 2 x + 7} (6 x - 2)

Graph

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