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Beliebt Rechnen >

derivative 3cos^2(x)

Lösung

ableitung von

3 cos^{2} (x)

Lösung

- 3 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (3 cos^{2} (x))

Entferne die Konstante:

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

= 3 \frac{d}{d x} (cos^{2} (x))

Wende die Kettenregel an:

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

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

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

= 3 \cdot 2 cos (x) (- sin (x))

Vereinfache

3 \cdot 2 cos (x) (- sin (x)) : - 3 sin (2 x)

= - 3 sin (2 x)

Graph

Beliebte Beispiele

derivative of 2sin(x+cos(x))

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

(x - 2)^{^{'}}

laplacetransform 25t

l a pl a ce t r an s f or m 25 t

integral from 0 to 1/4 of 4arcsin(4y)

\int_{0}^{\frac{1}{4}} 4 arcsin (4 y) d y

integral of (sin(2)x^2)^2xcos(2)x^2

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