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Beliebt Rechnen >

derivative of (sin(x)^2)

Lösung

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

Lösung

sin (2 x)

Schritte zur Lösung

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

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 sin (x) cos (x)

Verwende die Doppelwinkelidentität:

2 sin (x) cos (x) = sin (2 x)

= sin (2 x)

Graph

Beliebte Beispiele

limit as x approaches 0 of (cos(x))^{cot^2(x)}

x \to 0 lim ((cos (x))^{c o t^{2} (x)})

maclaurin ln(((1+x))/((1-x)))

ma c l a u r in ln (\frac{( 1 + x )}{( 1 - x )})

derivative of-3e^{2x}

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

derivative 1/(x^9)

d er i v a t i v e \frac{1}{x ^{9}}

integral of x(x^2-3)^4

\int x (x^{2} - 3)^{4} d x