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Beliebt Rechnen >

d/(dθ)(6sin(θ)-8cos(θ))

Lösung

\frac{d}{d θ} (6 sin (θ) - 8 cos (θ))

Lösung

6 cos (θ) + 8 sin (θ)

Schritte zur Lösung

\frac{d}{d θ} (6 sin (θ) - 8 cos (θ))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d θ} (6 sin (θ)) - \frac{d}{d θ} (8 cos (θ))

\frac{d}{d θ} (6 sin (θ)) = 6 cos (θ)

\frac{d}{d θ} (8 cos (θ)) = - 8 sin (θ)

= 6 cos (θ) - (- 8 sin (θ))

Vereinfache

= 6 cos (θ) + 8 sin (θ)

Graph

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