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Beliebt Rechnen >

derivative of 4sin^2(x+9cos^3(x))

Lösung

\frac{d}{d x} (4 sin^{2} (x) + 9 cos^{3} (x))

Lösung

4 sin (2 x) - 27 cos^{2} (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (4 sin^{2} (x) + 9 cos^{3} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 sin^{2} (x)) + \frac{d}{d x} (9 cos^{3} (x))

\frac{d}{d x} (4 sin^{2} (x)) = 4 sin (2 x)

\frac{d}{d x} (9 cos^{3} (x)) = - 27 cos^{2} (x) sin (x)

= 4 sin (2 x) - 27 cos^{2} (x) sin (x)

Graph

Beliebte Beispiele

integral of (x^3)/(x^2-25)

(\partial)/(\partial x)(sqrt(x^2-2x+3))

derivative of (4x/3)

fläche 8/(1+x^4),4x^2

y^'+y/t =3cos(2t)