de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of e^{cos(2x})

Lösung

\frac{d}{d x} (e^{c o s (2 x)})

Lösung

- 2 e^{c o s (2 x)} sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (e^{c o s (2 x)})

Wende die Kettenregel an:

e^{c o s (2 x)} \frac{d}{d x} (cos (2 x))

= e^{c o s (2 x)} \frac{d}{d x} (cos (2 x))

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

= e^{c o s (2 x)} (- sin (2 x) \cdot 2)

Vereinfache

= - 2 e^{c o s (2 x)} sin (2 x)

Graph

Beliebte Beispiele

taylor cos(pi-4x)

t a y l or cos (π - 4 x)

integral of 3/125 x^2

\int \frac{3}{125} x^{2} d x

limit as x approaches 0 of 4x

x \to 0 lim (4 x)

integral of (3/(x^2)-2/(x^3))

\int (\frac{3}{x ^{2}} - \frac{2}{x ^{3}}) d x

sum from n=1 to infinity of (n!)/(n*3^n)

n = 1 \sum \infty \frac{n !}{n \cdot 3 ^{n}}