de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=cos^6(x)

Lösung

ableitung von

f (x) = cos^{6} (x)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of 0.5e^{x-1}

\frac{d}{d x} (0.5 e^{x - 1})

derivative 9/(x-7)

d er i v a t i v e \frac{9}{x - 7}

integral of x^6e^x

\int x^{6} e^{x} d x

tangent f(x)=(14)/((1+e-x),\at (0,7))

t an g e n t f (x) = \frac{14}{( 1 + e - x ) , at ( 0 , 7 )}

integral of (5^{sqrt(x)})/(sqrt(x))

\int \frac{5 ^{x}}{x} d x