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Beliebt Rechnen >

derivative ln(sqrt(2-x))

Lösung

ableitung von

ln (2 - x)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of x^2(7-x^3)^{2/3}

\int x^{2} (7 - x^{3})^{\frac{2}{3}} d x

derivative of tan(x^2-4x)

\frac{d}{d x} (tan (x^{2} - 4 x))

limit as x approaches-infinity of x^3-5x^2

x \to - \infty lim (x^{3} - 5 x^{2})

integral of x^2*sqrt(x-5)

\int x^{2} \cdot x - 5 d x

derivative y=x^2(x^3-1)^5

d er i v a t i v e y = x^{2} (x^{3} - 1)^{5}