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Beliebt Rechnen >

derivative 6^{x+2}

Lösung

ableitung von

6^{x + 2}

Lösung

ln (6) \cdot 6^{x + 2}

Schritte zur Lösung

\frac{d}{d x} (6^{x + 2})

Wende Exponentenregel an:

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

6^{x + 2} = e^{(x + 2) l n (6)}

= \frac{d}{d x} (e^{(x + 2) l n (6)})

Wende die Kettenregel an:

e^{(x + 2) l n (6)} \frac{d}{d x} ((x + 2) ln (6))

= e^{(x + 2) l n (6)} \frac{d}{d x} ((x + 2) ln (6))

\frac{d}{d x} ((x + 2) ln (6)) = ln (6)

= e^{(x + 2) l n (6)} ln (6)

e^{(x + 2) l n (6)} = 6^{x + 2}

= ln (6) \cdot 6^{x + 2}

Graph

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