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Beliebt Rechnen >

(\partial)/(\partial x)(ln(1-2x))

Lösung

\frac{\partial}{\partial x} (ln (1 - 2 x))

Lösung

- \frac{2}{1 - 2 x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (1 - 2 x))

Wende die Kettenregel an:

\frac{1}{1 - 2 x} \frac{\partial}{\partial x} (1 - 2 x)

= \frac{1}{1 - 2 x} \frac{\partial}{\partial x} (1 - 2 x)

\frac{\partial}{\partial x} (1 - 2 x) = - 2

= \frac{1}{1 - 2 x} (- 2)

Vereinfache

\frac{1}{1 - 2 x} (- 2) : - \frac{2}{1 - 2 x}

= - \frac{2}{1 - 2 x}

Beliebte Beispiele

integral from 1 to 2 of 1/(2-x)

\int_{1}^{2} \frac{1}{2 - x} d x

derivative (e^{2x+1})/(2x+5)

d er i v a t i v e \frac{e ^{2 x + 1}}{2 x + 5}

integral from 0 to 2 of xe^{-4x}

\int_{0}^{2} x e^{- 4 x} d x

f (t) = t^{2} e^{t}

y^'=(cos^2(t))(cos^2(2y))

y^{^{'}} = (cos^{2} (t)) (cos^{2} (2 y))