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Beliebt Rechnen >

(d^3)/(dx^3)(e^{5x-4})

Lösung

\frac{d ^{3}}{d x ^{3}} (e^{5 x - 4})

Lösung

125 e^{5 x - 4}

Schritte zur Lösung

\frac{d ^{3}}{d x ^{3}} (e^{5 x - 4})

\frac{d}{d x} (e^{5 x - 4}) = e^{5 x - 4} \cdot 5

= \frac{d ^{2}}{d x ^{2}} (e^{5 x - 4} \cdot 5)

\frac{d}{d x} (e^{5 x - 4} \cdot 5) = 25 e^{5 x - 4}

= \frac{d}{d x} (25 e^{5 x - 4})

\frac{d}{d x} (25 e^{5 x - 4}) = 125 e^{5 x - 4}

= 125 e^{5 x - 4}

Beliebte Beispiele

sum from n=1 to infinity of (n!)/(90^n)

n = 1 \sum \infty \frac{n !}{9 0 ^{n}}

limit as x approaches 2 of 2x^3-x^2+7x-3

x \to 2 lim (2 x^{3} - x^{2} + 7 x - 3)

derivative of 2tan(xsec(x))

\frac{d}{d x} (2 tan (x) sec (x))

derivative of sqrt(-3x)

\frac{d}{d x} (- 3 x)

\frac{d}{d t} (t^{3} + 1)