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Beliebt Rechnen >

derivative of 2sin^3(x-3cos^2(x))

Lösung

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

Lösung

6 sin^{2} (x) cos (x) + 3 sin (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 sin^{3} (x)) = 6 sin^{2} (x) cos (x)

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

= 6 sin^{2} (x) cos (x) - (- 3 sin (2 x))

Vereinfache

= 6 sin^{2} (x) cos (x) + 3 sin (2 x)

Graph

Beliebte Beispiele

integral of 5/32 x^4

\int \frac{5}{32} x^{4} d x

derivative xsin(1/x)

d er i v a t i v e x sin (\frac{1}{x})

(\partial)/(\partial y)(ycos(y-2x))

\frac{\partial}{\partial y} (y cos (y - 2 x))

steigung (7-9)(7-10)

s l o p e (7 - 9) (7 - 10)

integral of ye^{2y}

\int y e^{2 y} d y