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Beliebt Rechnen >

d/(dθ)(cos(θ)-sin(θ))

Lösung

\frac{d}{d θ} (cos (θ) - sin (θ))

Lösung

- sin (θ) - cos (θ)

Schritte zur Lösung

\frac{d}{d θ} (cos (θ) - sin (θ))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d θ} (cos (θ)) - \frac{d}{d θ} (sin (θ))

\frac{d}{d θ} (cos (θ)) = - sin (θ)

\frac{d}{d θ} (sin (θ)) = cos (θ)

= - sin (θ) - cos (θ)

Graph

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