derivative f(x)=a^{2x}

Lösung

ableitung von

f (x) = a^{2 x}

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)

d er i v a t i v e \frac{6}{x ^{5}} - \frac{2}{x}

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