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Beliebt Rechnen >

(\partial)/(\partial x)(ln(1-x))

Lösung

\frac{\partial}{\partial x} (ln (1 - x))

Lösung

- \frac{1}{1 - x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (1 - x))

Wende die Kettenregel an:

\frac{1}{1 - x} \frac{\partial}{\partial x} (1 - x)

= \frac{1}{1 - x} \frac{\partial}{\partial x} (1 - x)

\frac{\partial}{\partial x} (1 - x) = - 1

= \frac{1}{1 - x} (- 1)

Vereinfache

= - \frac{1}{1 - x}

Beliebte Beispiele

integral of (1+t)

\int (1 + t) d t

derivative (1+x)/(1-x)

d er i v a t i v e \frac{1 + x}{1 - x}

(\partial)/(\partial x)(7xe^{sqrt(xy)})

\frac{\partial}{\partial x} (7 x e^{x y})

integral from 0 to 3 of 3e^{-2x}

\int_{0}^{3} 3 e^{- 2 x} d x

laplacetransform sin^3(t)

l a pl a ce t r an s f or m sin^{3} (t)