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Beliebt Rechnen >

derivative a^{2x}

Lösung

ableitung von

a^{2 x}

Lösung

2 a^{2 x} ln (a)

Schritte zur Lösung

\frac{d}{d x} (a^{2 x})

Wende Exponentenregel an:

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

a^{2 x} = e^{2 x l n (a)}

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x ln (a)) = 2 ln (a)

= e^{2 x l n (a)} \cdot 2 ln (a)

e^{2 x l n (a)} = a^{2 x}

= 2 a^{2 x} ln (a)

Graph

Beliebte Beispiele

integral of (2x)/(x^2+3)

\int \frac{2 x}{x ^{2} + 3} d x

limit as x approaches 0 of x^{x^4}

x \to 0 lim (x^{x^{4}})

(dx)/(dt)=0.8x-0.004x^2

\frac{d x}{d t} = 0.8 x - 0.004 x^{2}

derivative f(x)=sqrt(x)-1/(sqrt(x))

d er i v a t i v e f (x) = x - \frac{1}{x}

integral of (4ln(x))/(x^2)

\int \frac{4 ln ( x )}{x ^{2}} d x