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Beliebt Rechnen >

derivative of re^{rx}

Lösung

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

Lösung

\frac{d r}{d x} e^{r x} + e^{r x} (x \frac{d r}{d x} + r) r

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = r, g = e^{r x}

= \frac{d r}{d x} e^{r x} + \frac{d}{d x} (e^{r x}) r

\frac{d}{d x} (e^{r x}) = e^{r x} (x \frac{d r}{d x} + r)

= \frac{d r}{d x} e^{r x} + e^{r x} (x \frac{d r}{d x} + r) r

Beliebte Beispiele

derivative of 4(5-7x^5)

\frac{d}{d x} (4 (5 - 7 x)^{5})

derivative f(x)= 3/((x+1)^2)

d er i v a t i v e f (x) = \frac{3}{( x + 1 ) ^{2}}

maclaurin e^{-5x^4}

ma c l a u r in e^{- 5 x^{4}}

derivative of 2^{arcsech(x})

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

integral of x/(x^4+3)

\int \frac{x}{x ^{4} + 3} d x