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Beliebt Rechnen >

derivative y=e^{5x}

Lösung

ableitung von

y = e^{5 x}

Lösung

e^{5 x} \cdot 5

Schritte zur Lösung

\frac{d}{d x} (e^{5 x})

Wende die Kettenregel an:

e^{5 x} \frac{d}{d x} (5 x)

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

\frac{d}{d x} (5 x) = 5

= e^{5 x} \cdot 5

Graph

Beliebte Beispiele

maclaurin ln(cos(x))

ma c l a u r in ln (cos (x))

limit as x approaches 2 of x^2-5x+6

x \to 2 lim (x^{2} - 5 x + 6)

derivative (7x^2-12x)e^x

d er i v a t i v e (7 x^{2} - 12 x) e^{x}

derivative of x^3(4-x)

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

sum from n=0 to infinity of 4/(n(n+2))

n = 0 \sum \infty \frac{4}{n ( n + 2 )}