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Beliebt Rechnen >

derivative of-a^2sin(ax)

Lösung

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

Lösung

- a^{3} cos (a x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= - a^{2} cos (a x) a

Vereinfache

- a^{2} cos (a x) a : - a^{3} cos (a x)

= - a^{3} cos (a x)

Graph

Beliebte Beispiele

\frac{d}{d t} (e^{6 t})

integral of x(5x^2+9)^8

\int x (5 x^{2} + 9)^{8} d x

derivative y=e^{x^5}

d er i v a t i v e y = e^{x^{5}}

integral of sec(10w)tan(10w)

\int sec (10 w) tan (10 w) d w

limit as x approaches 0 of x/(x^2-2x)

x \to 0 lim (\frac{x}{x ^{2} - 2 x})