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Beliebt Rechnen >

derivative f(θ)=sin(θ)cos(θ)

Lösung

ableitung von

f (θ) = sin (θ) cos (θ)

Lösung

cos (2 θ)

Schritte zur Lösung

\frac{d}{d θ} (sin (θ) cos (θ))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (θ), g = cos (θ)

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

\frac{d}{d θ} (sin (θ)) = cos (θ)

\frac{d}{d θ} (cos (θ)) = - sin (θ)

= cos (θ) cos (θ) + (- sin (θ)) sin (θ)

Vereinfache

cos (θ) cos (θ) + (- sin (θ)) sin (θ) : cos (2 θ)

= cos (2 θ)

Graph

Beliebte Beispiele

integral of tan(10x)

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(\partial)/(\partial x)(1.2)