de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 2sin(x+2sin(x)cos(x))

Lösung

\frac{d}{d x} (2 sin (x) + 2 sin (x) cos (x))

Lösung

2 cos (x) + cos (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (2 sin (x) + 2 sin (x) cos (x))

Vereinfache

2 sin (x) + 2 sin (x) cos (x) : 2 sin (x) + sin (2 x)

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= 2 cos (x) + cos (2 x) \cdot 2

Graph

Beliebte Beispiele

d er i v a t i v e 3^{x}

integral of (x^2+2)/(x^2+1)

\int \frac{x ^{2} + 2}{x ^{2} + 1} d x

integral of (sqrt(x)+1/x+sqrt(pi))

\int (x + \frac{1}{x} + π) d x

integral of 1/(x^{12)}

\int \frac{1}{x ^{12}} d x

derivative f(x)=sqrt(x)(3x+x^2)

d er i v a t i v e f (x) = x (3 x + x^{2})