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Beliebt Rechnen >

derivative of 1-cos(5x)

Lösung

\frac{d}{d x} (1 - cos (5 x))

Lösung

5 sin (5 x)

Schritte zur Lösung

\frac{d}{d x} (1 - cos (5 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (cos (5 x))

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

\frac{d}{d x} (cos (5 x)) = - sin (5 x) \cdot 5

= 0 - (- sin (5 x) \cdot 5)

Vereinfache

= 5 sin (5 x)

Graph

Beliebte Beispiele

limit as x approaches 1 of (x+3)/(x+1)

x \to 1 lim (\frac{x + 3}{x + 1})

laplacetransform-6t^2\delta(t-5)

l a pl a ce t r an s f or m - 6 t^{2} δ (t - 5)

derivative 5-5x^3

d er i v a t i v e 5 - 5 x^{3}

derivative of (2x/(7-cot(x)))

\frac{d}{d x} (\frac{2 x}{7 - cot ( x )})

laplacetransform 1(t)

l a pl a ce t r an s f or m 1 (t)