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Beliebt Rechnen >

derivative of cos^4(2x)

Lösung

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

Lösung

- 8 cos^{3} (2 x) sin (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

4 (cos (2 x))^{3} \frac{d}{d x} (cos (2 x))

= 4 (cos (2 x))^{3} \frac{d}{d x} (cos (2 x))

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= 4 (cos (2 x))^{3} (- sin (2 x) \cdot 2)

Vereinfache

= - 8 cos^{3} (2 x) sin (2 x)

Graph

Beliebte Beispiele

integral of x/(sqrt(x^2-6))

\int \frac{x}{x ^{2} - 6} d x

derivative of (4-3x-x^2/(x^2-1))

\frac{d}{d x} (\frac{4 - 3 x - x ^{2}}{x ^{2} - 1})

derivative of (e^{2x}/(2x))

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

(dh)/(dt)=5sqrt(h)

\frac{d h}{d t} = 5 h

sqrt(1+x^2)dy-sqrt(1-y^2)dx=0

1 + x^{2} d y - 1 - y^{2} d x = 0