de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 2x-cot^2(x)

Lösung

ableitung von

2 x - cot^{2} (x)

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of (sin(xy)/(x^2+y^2))

\frac{d}{d x} (\frac{sin ( x y )}{x ^{2} + y ^{2}})

integral of 2^3sin(x^2)

\int 2^{3} sin (x^{2}) d x

derivative of 2/(4x^2+1)

\frac{d}{d x} (\frac{2}{4 x ^{2} + 1})

(dx)/(dt)=(x^3-xt^2)/(t^3),x(1)=2

\frac{d x}{d t} = \frac{x ^{3} - x t ^{2}}{t ^{3}}, x (1) = 2

integral of 3x^2+2x+4

\int 3 x^{2} + 2 x + 4 d x