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Beliebt Rechnen >

derivative of a(1-sin(x))

Lösung

\frac{d}{d x} (a (1 - sin (x)))

Lösung

- a cos (x)

Schritte zur Lösung

\frac{d}{d x} (a (1 - sin (x)))

Entferne die Konstante:

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

= a \frac{d}{d x} (1 - sin (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= a (\frac{d}{d x} (1) - \frac{d}{d x} (sin (x)))

\frac{d}{d x} (1) = 0

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

= a (0 - cos (x))

Vereinfache

= - a cos (x)

Graph

Beliebte Beispiele

derivative of 7+x^2

\frac{d}{d x} (7 + x^{2})

integral of 1/(x(x))

\int \frac{1}{x ( x )} d x

integral of 8/(x^2+4)

\int \frac{8}{x ^{2} + 4} d x

derivative of x^3sec(x)

\frac{d}{d x} (x^{3} sec (x))

limit as x approaches-1/3 of 9x(4x+9)^2

x \to - \frac{1}{3} lim (9 x (4 x + 9)^{2})