derivative ln(sqrt(1-x))

Lösung

ableitung von

ln (1 - x)

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\int_{- 5}^{0} (2 + 25 - x^{2}) d x

x^{2} y^{^{'}} + (2 x^{2} - x) y = x^{4}

\frac{\partial}{\partial y} (x^{2} - \frac{y}{4})

l a pl a ce t r an s f or m 9

t an g e n t f (x) = \frac{8 x}{x ^{2} + 1}, at x = 0