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Beliebt Rechnen >

derivative of cos(x^2+pi)

Lösung

\frac{d}{d x} (cos (x^{2} + π))

Lösung

2 x sin (x^{2})

Schritte zur Lösung

\frac{d}{d x} (cos (x^{2} + π))

Vereinfache

cos (x^{2} + π) : - cos (x^{2})

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

- sin (x^{2}) \frac{d}{d x} (x^{2})

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

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

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

Vereinfache

= 2 x sin (x^{2})

Graph

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