de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 3cos^3(t)

Lösung

ableitung von

3 cos^{3} (t)

Lösung

- 9 cos^{2} (t) sin (t)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d t} (cos^{3} (t))

Wende die Kettenregel an:

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

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

\frac{d}{d t} (cos (t)) = - sin (t)

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

Vereinfache

= - 9 cos^{2} (t) sin (t)

Graph

Beliebte Beispiele

derivative y=e^x(3-5x+3x^2)

d er i v a t i v e y = e^{x} (3 - 5 x + 3 x^{2})

(1-y)*e^y*y^'+(y^2)/(x*ln(x))=0

(1 - y) \cdot e^{y} \cdot y^{^{'}} + \frac{y ^{2}}{x \cdot ln ( x )} = 0

integral of x/(sqrt(x^2-7))

\int \frac{x}{x ^{2} - 7} d x

derivative of 8x+9

\frac{d}{d x} (8 x + 9)

integral of arcsin(7x)

\int arcsin (7 x) d x