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Beliebt Rechnen >

derivative 3^{x+2}

Lösung

ableitung von

3^{x + 2}

Lösung

ln (3) \cdot 3^{x + 2}

Schritte zur Lösung

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

Wende Exponentenregel an:

a^{b} = e^{b l n (a)}

3^{x + 2} = e^{(x + 2) l n (3)}

= \frac{d}{d x} (e^{(x + 2) l n (3)})

Wende die Kettenregel an:

e^{(x + 2) l n (3)} \frac{d}{d x} ((x + 2) ln (3))

= e^{(x + 2) l n (3)} \frac{d}{d x} ((x + 2) ln (3))

\frac{d}{d x} ((x + 2) ln (3)) = ln (3)

= e^{(x + 2) l n (3)} ln (3)

e^{(x + 2) l n (3)} = 3^{x + 2}

= ln (3) \cdot 3^{x + 2}

Graph

Beliebte Beispiele

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