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Beliebt Rechnen >

derivative of (sin(2x)^2)

Lösung

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

Lösung

2 sin (4 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

2 sin (2 x) \frac{d}{d x} (sin (2 x))

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

\frac{d}{d 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

integral from-5 to 0 of |x+3|

\int_{- 5}^{0} ∣ x + 3 ∣ d x

integral from 1 to 4 of (6/(x^2))

\int_{1}^{4} (\frac{6}{x ^{2}}) d x

y^{^{'}} = \frac{t}{y}

fläche x+6,x^2

a re a x + 6, x^{2}

derivative of (x^2/(1+8x))

\frac{d}{d x} (\frac{x ^{2}}{1 + 8 x})