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Beliebt Rechnen >

derivative ln(xe^{-2x})

Lösung

ableitung von

ln (x e^{- 2 x})

Lösung

\frac{1}{x} - 2

Schritte zur Lösung

\frac{d}{d x} (ln (x e^{- 2 x}))

Vereinfache

ln (x e^{- 2 x}) : ln (x) - 2 x

= \frac{d}{d x} (ln (x) - 2 x)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (ln (x)) - \frac{d}{d x} (2 x)

\frac{d}{d x} (ln (x)) = \frac{1}{x}

\frac{d}{d x} (2 x) = 2

= \frac{1}{x} - 2

Graph

Beliebte Beispiele

integral of (x-2)/(x+2)

\int \frac{x - 2}{x + 2} d x

normal y=x^3-3x+5,(3,23)

n or ma l y = x^{3} - 3 x + 5, (3, 23)

integral of 8ln(\sqrt[3]{x})

\int 8 ln (3 x) d x

integral from 1 to 2 of ln(3x)

\int_{1}^{2} ln (3 x) d x

derivative of (x^2+3*sqrt(x))

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