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Beliebt Rechnen >

(sin^2(2x))^'

Lösung

(sin^{2} (2 x))^{^{'}}

Lösung

2 sin (4 x)

Schritte zur Lösung

(sin^{2} (2 x))^{'}

Wende die Kettenregel an:

2 sin (2 x) (sin (2 x))^{'}

= 2 sin (2 x) (sin (2 x))^{'}

(sin (2 x))^{'} = cos (2 x) \cdot 2

= 2 sin (2 x) cos (2 x) \cdot 2

Vereinfache

2 sin (2 x) cos (2 x) \cdot 2 : 2 sin (4 x)

= 2 sin (4 x)

Graph

Beliebte Beispiele

derivative of ln(2x^2+4)

\frac{d}{d x} (ln (2 x^{2} + 4))

y^'=(pix+y+pi^2)^2

y^{^{'}} = (π x + y + π^{2})^{2}

taylor 1/(x-1),13

t a y l or \frac{1}{x - 1}, 13

limit as x approaches 0 of x^5

x \to 0 lim (x^{5})

(\partial)/(\partial x)(12+5xy)

\frac{\partial}{\partial x} (12 + 5 x y)