de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of cos^2(3sqrt(x))

Lösung

\frac{d}{d x} (cos^{2} (3 x))

Lösung

- \frac{3 cos ( 3 x ) sin ( 3 x )}{x}

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (3 x))

Wende die Kettenregel an:

2 cos (3 x) \frac{d}{d x} (cos (3 x))

= 2 cos (3 x) \frac{d}{d x} (cos (3 x))

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \frac{3}{2 x}

= 2 cos (3 x) (- sin (3 x) \frac{3}{2 x})

Vereinfache

2 cos (3 x) (- sin (3 x) \frac{3}{2 x}) : - \frac{3 cos ( 3 x ) sin ( 3 x )}{x}

= - \frac{3 cos ( 3 x ) sin ( 3 x )}{x}

Graph

Beliebte Beispiele

integral of x(x+2)^5

\int x (x + 2)^{5} d x

derivative f(x)=4arcsin(x^4)

d er i v a t i v e f (x) = 4 arcsin (x^{4})

derivative of (x^2/(x-11))

\frac{d}{d x} (\frac{x ^{2}}{x - 11})

derivative 3x+4/x

d er i v a t i v e 3 x + \frac{4}{x}

integral from 2 to 3 of (19)/(sqrt(3-x))

\int_{2}^{3} \frac{19}{3 - x} d x