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Beliebt Rechnen >

derivative of cos^2(4pix)

Lösung

\frac{d}{d x} (cos^{2} (4 π x))

Lösung

- 8 π cos (4 π x) sin (4 π x)

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (4 π x))

Wende die Kettenregel an:

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

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

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

= 2 cos (4 π x) (- sin (4 π x) \cdot 4 π)

Vereinfache

= - 8 π cos (4 π x) sin (4 π x)

Graph

Beliebte Beispiele

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\int sec^{2} (2 x) tan^{2} (2 x) d x

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\int \frac{s ^{2}}{s ^{3} + 5} d s

integral from 0 to 1 of 2x^2

\int_{0}^{1} 2 x^{2} d x

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\int \frac{1}{x ^{2} - 2 x - 8} d x