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Beliebt Rechnen >

derivative of 8sin^2(x)

Lösung

\frac{d}{d x} (8 sin^{2} (x))

Lösung

8 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (8 sin^{2} (x))

Entferne die Konstante:

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

= 8 \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)

= 8 \cdot 2 sin (x) cos (x)

Vereinfache

8 \cdot 2 sin (x) cos (x) : 8 sin (2 x)

= 8 sin (2 x)

Graph

Beliebte Beispiele

(dx)/(dt)=0.6-3/500 x

\frac{d x}{d t} = 0.6 - \frac{3}{500} x

x^2*y^'-4xy=sin(3x)*x^6

x^{2} \cdot y^{^{'}} - 4 x y = sin (3 x) \cdot x^{6}

limit as x approaches 0+of x^3*ln(x)

x \to 0 + lim (x^{3} \cdot ln (x))

derivative ln(x+sqrt(8+x^2))

d er i v a t i v e ln (x + 8 + x^{2})

(1-t^2)y^{''}+2ty^'-2y=0

(1 - t^{2}) y^{^{''}} + 2 t y^{^{'}} - 2 y = 0