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Beliebt Rechnen >

derivative f(x)=ln(xe^{-3x})

Lösung

ableitung von

f (x) = ln (x e^{- 3 x})

Lösung

\frac{1}{x} - 3

Schritte zur Lösung

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

Vereinfache

ln (x e^{- 3 x}) : ln (x) - 3 x

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{x} - 3

Graph

Beliebte Beispiele

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