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Beliebt Rechnen >

(d^4)/(dx^4)(e^{2x})

Lösung

\frac{d ^{4}}{d x ^{4}} (e^{2 x})

Lösung

16 e^{2 x}

Schritte zur Lösung

\frac{d ^{4}}{d x ^{4}} (e^{2 x})

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

= \frac{d ^{3}}{d x ^{3}} (e^{2 x} \cdot 2)

\frac{d}{d x} (e^{2 x} \cdot 2) = 4 e^{2 x}

= \frac{d ^{2}}{d x ^{2}} (4 e^{2 x})

\frac{d}{d x} (4 e^{2 x}) = 8 e^{2 x}

= \frac{d}{d x} (8 e^{2 x})

\frac{d}{d x} (8 e^{2 x}) = 16 e^{2 x}

= 16 e^{2 x}

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