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Beliebt Rechnen >

derivative of cos^2(2x^4-4)

Lösung

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

Lösung

- 16 x^{3} cos (2 x^{4} - 4) sin (2 x^{4} - 4)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (2 x^{4} - 4)) = - sin (2 x^{4} - 4) \cdot 8 x^{3}

= 2 cos (2 x^{4} - 4) (- sin (2 x^{4} - 4) \cdot 8 x^{3})

Vereinfache

= - 16 x^{3} cos (2 x^{4} - 4) sin (2 x^{4} - 4)

Graph

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