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Beliebt Rechnen >

derivative p(t)=5e^{0.0278t}

Lösung

ableitung von

p (t) = 5 e^{0.0278 t}

Lösung

0.139 e^{0.0278 t}

Schritte zur Lösung

\frac{d}{d t} (5 e^{0.0278 t})

Entferne die Konstante:

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

= 5 \frac{d}{d t} (e^{0.0278 t})

Wende die Kettenregel an:

e^{0.0278 t} \frac{d}{d t} (0.0278 t)

= e^{0.0278 t} \frac{d}{d t} (0.0278 t)

\frac{d}{d t} (0.0278 t) = 0.0278

= 5 e^{0.0278 t} \cdot 0.0278

Vereinfache

= 0.139 e^{0.0278 t}

Graph

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