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Beliebt Rechnen >

derivative y=cos^2(1-3x^2)

Lösung

ableitung von

y = cos^{2} (1 - 3 x^{2})

Lösung

12 x cos (1 - 3 x^{2}) sin (1 - 3 x^{2})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (1 - 3 x^{2})) = 6 x sin (1 - 3 x^{2})

= 2 cos (1 - 3 x^{2}) \cdot 6 x sin (1 - 3 x^{2})

Vereinfache

= 12 x cos (1 - 3 x^{2}) sin (1 - 3 x^{2})

Graph

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