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Beliebt Rechnen >

derivative of cos(2x+x^2)

Lösung

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

Lösung

- sin (2 x) \cdot 2 + 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - sin (2 x) \cdot 2 + 2 x

Graph

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