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^2(4x+1)

Lösung

\frac{d}{d x} (cos^{2} (4 x + 1))

Lösung

- 8 cos (4 x + 1) sin (4 x + 1)

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (4 x + 1))

Wende die Kettenregel an:

2 cos (4 x + 1) \frac{d}{d x} (cos (4 x + 1))

= 2 cos (4 x + 1) \frac{d}{d x} (cos (4 x + 1))

\frac{d}{d x} (cos (4 x + 1)) = - sin (4 x + 1) \cdot 4

= 2 cos (4 x + 1) (- sin (4 x + 1) \cdot 4)

Vereinfache

= - 8 cos (4 x + 1) sin (4 x + 1)

Graph

Beliebte Beispiele

derivative of-2asin(2x)

\frac{d}{d x} (- 2 a sin (2 x))

derivative of x^4sin(xtan(x))

\frac{d}{d x} (x^{4} sin (x) tan (x))

tangent-4x^2+7x

t an g e n t - 4 x^{2} + 7 x

sum from n=3 to infinity of e^{5-4n}

n = 3 \sum \infty e^{5 - 4 n}

integral of (-x)/((x^2+1)^2)

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