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Beliebt Rechnen >

d/(da)(3sin^2(a)-2cos^2(a))

Lösung

\frac{d}{d a} (3 sin^{2} (a) - 2 cos^{2} (a))

Lösung

5 sin (2 a)

Schritte zur Lösung

\frac{d}{d a} (3 sin^{2} (a) - 2 cos^{2} (a))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d a} (3 sin^{2} (a)) - \frac{d}{d a} (2 cos^{2} (a))

\frac{d}{d a} (3 sin^{2} (a)) = 3 sin (2 a)

\frac{d}{d a} (2 cos^{2} (a)) = - 2 sin (2 a)

= 3 sin (2 a) - (- 2 sin (2 a))

Vereinfache

= 5 sin (2 a)

Graph

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