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Beliebt Rechnen >

derivative of 0.6e^{5x}

Lösung

\frac{d}{d x} (0.6 e^{5 x})

Lösung

3 e^{5 x}

Schritte zur Lösung

\frac{d}{d x} (0.6 e^{5 x})

Entferne die Konstante:

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

= 0.6 \frac{d}{d x} (e^{5 x})

Wende die Kettenregel an:

e^{5 x} \frac{d}{d x} (5 x)

= e^{5 x} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= 0.6 e^{5 x} \cdot 5

Vereinfache

= 3 e^{5 x}

Graph

Beliebte Beispiele

derivative of xe^xln(x)

\frac{d}{d x} (x e^{x} ln (x))

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(dy)/(dx)-tan(x)y=e^{11x}

\frac{d y}{d x} - tan (x) y = e^{11 x}

sum from n=1 to infinity of 3/(n^6)

n = 1 \sum \infty \frac{3}{n ^{6}}

derivative of ((x-3)/(sqrt(x)-\sqrt{3)})

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