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Beliebt Rechnen >

derivative of-4sin^2(x)

Lösung

\frac{d}{d x} (- 4 sin^{2} (x))

Lösung

- 4 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (- 4 sin^{2} (x))

Entferne die Konstante:

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

= - 4 \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)

= - 4 \cdot 2 sin (x) cos (x)

Vereinfache

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

= - 4 sin (2 x)

Graph

Beliebte Beispiele

integral of 16cos^2(x)

\int 16 cos^{2} (x) d x

y^{''}-4y=((e^{2x}))/((x))

y^{^{''}} - 4 y = \frac{( e ^{2 x} )}{( x )}

limit as x approaches-3 of-x^2-x+4

x \to - 3 lim (- x^{2} - x + 4)

limit as x approaches 0 of \sqrt[x]{2}

x \to 0 lim (x 2)

derivative (2x-1)ln(2x-1)

d er i v a t i v e (2 x - 1) ln (2 x - 1)