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Beliebt Rechnen >

derivative of 1+2e^x-3x

Lösung

\frac{d}{d x} (1 + 2 e^{x} - 3 x)

Lösung

2 e^{x} - 3

Schritte zur Lösung

\frac{d}{d x} (1 + 2 e^{x} - 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (2 e^{x}) - \frac{d}{d x} (3 x)

\frac{d}{d x} (1) = 0

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

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

= 0 + 2 e^{x} - 3

Vereinfache

= 2 e^{x} - 3

Graph

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