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^4(3x)

Lösung

\frac{d}{d x} (cos^{4} (3 x))

Lösung

- 12 cos^{3} (3 x) sin (3 x)

Schritte zur Lösung

\frac{d}{d x} (cos^{4} (3 x))

Wende die Kettenregel an:

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

= 4 (cos (3 x))^{3} \frac{d}{d x} (cos (3 x))

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

= 4 (cos (3 x))^{3} (- sin (3 x) \cdot 3)

Vereinfache

= - 12 cos^{3} (3 x) sin (3 x)

Graph

Beliebte Beispiele

x^2(dy)/(dx)+2xy=y^3

x^{2} \frac{d y}{d x} + 2 x y = y^{3}

integral of sqrt(2+7x)

\int 2 + 7 x d x

integral of (121)/(x^3-11x^2)

\int \frac{121}{x ^{3} - 11 x ^{2}} d x

derivative f(x)=sqrt(7x+4)

d er i v a t i v e f (x) = 7 x + 4

derivative of (xy+1^2)

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