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Beliebt Rechnen >

derivative of cos^3(2x)

Lösung

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

Lösung

- 6 cos^{2} (2 x) sin (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

limit as x approaches 3 of 2/(x-3)

x \to 3 lim (\frac{2}{x - 3})

derivative of 3csc(xcos^3(x))

\frac{d}{d x} (3 csc (x) cos^{3} (x))

tangent y= 1/(1+x^2),(-1, 1/2)

t an g e n t y = \frac{1}{1 + x ^{2}}, (- 1, \frac{1}{2})

inverselaplace 2/(sin^2(+2))

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

t a y l or f (x) = x