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Beliebt Rechnen >

derivative of acos(2x)

Lösung

\frac{d}{d x} (a cos (2 x))

Lösung

- 2 a sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (a cos (2 x))

Entferne die Konstante:

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

= a \frac{d}{d x} (cos (2 x))

Wende die Kettenregel an:

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

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

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

= a (- sin (2 x) \cdot 2)

Vereinfache

= - 2 a sin (2 x)

Graph

Beliebte Beispiele

integral of 8cos(θ)

\int 8 cos (θ) d θ

integral of tan^4(3x)

\int tan^{4} (3 x) d x

(\partial)/(\partial x)(ln(xyz))

\frac{\partial}{\partial x} (ln (x yz))

derivative of (2x-5/(x+1))

\frac{d}{d x} (\frac{2 x - 5}{x + 1})

limit as x approaches 0 of 2xcot(4x)

x \to 0 lim (2 x cot (4 x))