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Beliebt Rechnen >

derivative of 4e^{6x}

Lösung

\frac{d}{d x} (4 e^{6 x})

Lösung

24 e^{6 x}

Schritte zur Lösung

\frac{d}{d x} (4 e^{6 x})

Entferne die Konstante:

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

= 4 \frac{d}{d x} (e^{6 x})

Wende die Kettenregel an:

e^{6 x} \frac{d}{d x} (6 x)

= e^{6 x} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= 4 e^{6 x} \cdot 6

Vereinfache

= 24 e^{6 x}

Graph

Beliebte Beispiele

derivative f(x)=sin(3x+1)

d er i v a t i v e f (x) = sin (3 x + 1)

derivative of (4x^{6x})

\frac{d}{d x} ((4 x)^{6 x})

limit as x approaches pi of xcos((7x)/6)

x \to π lim (x cos (\frac{7 x}{6}))

derivative x/(x+6)

d er i v a t i v e \frac{x}{x + 6}

integral of-2/(sqrt(7-7x^2))

\int - \frac{2}{7 - 7 x ^{2}} d x