de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (1+cos(2x)/(1-cos(2x)))

Lösung

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

Lösung

- 2 csc^{2} (x) cot (x)

Schritte zur Lösung

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

Vereinfache

\frac{1 + cos ( 2 x )}{1 - cos ( 2 x )} : cot^{2} (x)

= \frac{d}{d x} (cot^{2} (x))

Wende die Kettenregel an:

2 cot (x) \frac{d}{d x} (cot (x))

= 2 cot (x) \frac{d}{d x} (cot (x))

\frac{d}{d x} (cot (x)) = - csc^{2} (x)

= 2 cot (x) (- csc^{2} (x))

Vereinfache

= - 2 csc^{2} (x) cot (x)

Graph

Beliebte Beispiele

integral of xsin(1/7 x)

\int x sin (\frac{1}{7} x) d x

integral of 40x^{3/2}-60x^2

\int 40 x^{\frac{3}{2}} - 60 x^{2} d x

derivative 4/(t^2)

d er i v a t i v e \frac{4}{t ^{2}}

inverselaplace s/(s^2+s+3)

in v erse l a pl a ce \frac{s}{s ^{2} + s + 3}

derivative of 4/3 pi{r}(x(x)^3)

\frac{d}{d x} (\frac{4}{3} π r (x) (x)^{3})