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Beliebt Rechnen >

derivative 2sin^2(x)

Lösung

ableitung von

2 sin^{2} (x)

Lösung

2 sin (2 x)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= 2 sin (2 x)

Graph

Beliebte Beispiele

f (y) = \frac{1}{2 y}

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\int x^{4} + x + 9 d x

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\int_{0}^{1} \frac{x}{e ^{7 x}} d x

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