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Beliebt Rechnen >

derivative of-asin(ax)

Lösung

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

Lösung

- a^{2} cos (a x)

Schritte zur Lösung

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

Entferne die Konstante:

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

= - a \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 cos (a x) a

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of (2x)/(2-x^2)

\int \frac{2 x}{2 - x ^{2}} d x

derivative of c+x+{f}(x(x)^2)

\frac{d}{d x} (c + x + f (x) (x)^{2})

integral of ((3*2^x-2*3^x))/(2^x)

\int \frac{( 3 \cdot 2 ^{x} - 2 \cdot 3 ^{x} )}{2 ^{x}} d x

derivative y=3(x^2-x+1)(5x-3)

d er i v a t i v e y = 3 (x^{2} - x + 1) (5 x - 3)

(\partial)/(\partial x)((x+y^2)^3)

\frac{\partial}{\partial x} ((x + y^{2})^{3})