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Beliebt Rechnen >

derivative of 10cos(30x-7)

Lösung

\frac{d}{d x} (10 cos (30 x - 7))

Lösung

- 300 sin (30 x - 7)

Schritte zur Lösung

\frac{d}{d x} (10 cos (30 x - 7))

Entferne die Konstante:

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

= 10 \frac{d}{d x} (cos (30 x - 7))

Wende die Kettenregel an:

- sin (30 x - 7) \frac{d}{d x} (30 x - 7)

= - sin (30 x - 7) \frac{d}{d x} (30 x - 7)

\frac{d}{d x} (30 x - 7) = 30

= 10 (- sin (30 x - 7) \cdot 30)

Vereinfache

= - 300 sin (30 x - 7)

Graph

Beliebte Beispiele

integral of csch^2(13x-4/9)

\int csch^{2} (13 x - \frac{4}{9}) d x

steigung (-1,-1),(4,-6)

s l o p e (- 1, - 1), (4, - 6)

derivative 6sqrt(t^5)

d er i v a t i v e 6 t^{5}

derivative (1+sqrt(t))(8t^2-1)

d er i v a t i v e (1 + t) (8 t^{2} - 1)

limit as x approaches infinity of 3x^4

x \to \infty lim (3 x^{4})