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^3(3x)

Lösung

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

Lösung

- 9 cos^{2} (3 x) sin (3 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= - 9 cos^{2} (3 x) sin (3 x)

Graph

Beliebte Beispiele

f(x)=sqrt(3x+7)

f (x) = 3 x + 7

derivative y=3^{x-1}

d er i v a t i v e y = 3^{x - 1}

f(x)= x/(x^2+9)

f (x) = \frac{x}{x ^{2} + 9}

y^{''}-2y^'+2y=x+e^x

y^{^{''}} - 2 y^{^{'}} + 2 y = x + e^{x}

limit as x approaches 0 of-5^2

x \to 0 lim (- 5^{2})