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Beliebt Rechnen >

d/(dq)((1+sec(q))sin(q))

Lösung

\frac{d}{d q} ((1 + sec (q)) sin (q))

Lösung

cos (q) + sec^{2} (q)

Schritte zur Lösung

\frac{d}{d q} ((1 + sec (q)) sin (q))

Vereinfache

(1 + sec (q)) sin (q) : sin (q) + tan (q)

= \frac{d}{d q} (sin (q) + tan (q))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d q} (sin (q)) + \frac{d}{d q} (tan (q))

\frac{d}{d q} (sin (q)) = cos (q)

\frac{d}{d q} (tan (q)) = sec^{2} (q)

= cos (q) + sec^{2} (q)

Graph

Beliebte Beispiele

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