de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of ln^2(1-2x)

Lösung

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

Lösung

- \frac{4 ln ( 1 - 2 x )}{1 - 2 x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

2 ln (1 - 2 x) (- \frac{2}{1 - 2 x}) : - \frac{4 ln ( 1 - 2 x )}{1 - 2 x}

= - \frac{4 ln ( 1 - 2 x )}{1 - 2 x}

Graph

Beliebte Beispiele

derivative f(x)= x/(ln(x))

d er i v a t i v e f (x) = \frac{x}{ln ( x )}

y^{''}+6y^'+19y=0

y^{^{''}} + 6 y^{^{'}} + 19 y = 0

y^{^{''}} = 0

integral of 1/(25+(x-6)^2)

\int \frac{1}{25 + ( x - 6 ) ^{2}} d x

inverselaplace 1/(5s^2+0.2s)

in v erse l a pl a ce \frac{1}{5 s ^{2} + 0.2 s}