de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (sin(x)^6)

Lösung

\frac{d}{d x} ((sin (x))^{6})

Lösung

6 sin^{5} (x) cos (x)

Schritte zur Lösung

\frac{d}{d x} ((sin (x))^{6})

Wende die Kettenregel an:

6 (sin (x))^{5} \frac{d}{d x} (sin (x))

= 6 (sin (x))^{5} \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin (x)) = cos (x)

= 6 (sin (x))^{5} cos (x)

Vereinfache

= 6 sin^{5} (x) cos (x)

Graph

Beliebte Beispiele

derivative of (x^2/y)

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

integral of 1/(1-u^2)

\int \frac{1}{1 - u ^{2}} d u

derivative (x+4)/(\sqrt[4]{x^3)}

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

vereinfachen (x-x^2)/(sqrt(x))-2cot(x)

s im pl i f y \frac{x - x ^{2}}{x} - 2 cot (x)

t(dy)/(dt)-y=sqrt(yt)

t \frac{d y}{d t} - y = y t