de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative (1+cos^2(x))^6

Lösung

ableitung von

(1 + cos^{2} (x))^{6}

Lösung

- 6 sin (2 x) (1 + cos^{2} (x))^{5}

Schritte zur Lösung

\frac{d}{d x} ((1 + cos^{2} (x))^{6})

Wende die Kettenregel an:

6 (1 + cos^{2} (x))^{5} \frac{d}{d x} (1 + cos^{2} (x))

= 6 (1 + cos^{2} (x))^{5} \frac{d}{d x} (1 + cos^{2} (x))

\frac{d}{d x} (1 + cos^{2} (x)) = - sin (2 x)

= 6 (1 + cos^{2} (x))^{5} (- sin (2 x))

Vereinfache

= - 6 sin (2 x) (1 + cos^{2} (x))^{5}

Graph

Beliebte Beispiele

derivative f(x)=7x-3x^2

d er i v a t i v e f (x) = 7 x - 3 x^{2}

integral of 1/(x^2-49)

\int \frac{1}{x ^{2} - 49} d x

inverselaplace 1/((s^3+s^2+s))

in v erse l a pl a ce \frac{1}{( s ^{3} + s ^{2} + s )}

integral of (15)/(sqrt(4-5x))

\int \frac{15}{4 - 5 x} d x

limit as x approaches+2 of (2x-1)^2-x^2

x \to + 2 lim ((2 x - 1)^{2} - x^{2})