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Beliebt Rechnen >

derivative cos(x)-(sqrt(2))/2 x

Lösung

ableitung von

cos (x) - \frac{2}{2} x

Lösung

- sin (x) - \frac{1}{2}

Schritte zur Lösung

\frac{d}{d x} (cos (x) - \frac{2}{2} x)

Vereinfache

cos (x) - \frac{2}{2} x : cos (x) - \frac{x}{2}

= \frac{d}{d x} (cos (x) - \frac{x}{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (x)) - \frac{d}{d x} (\frac{x}{2})

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= - sin (x) - \frac{1}{2}

Graph

Beliebte Beispiele

limit as x approaches 1^{-1} of-1.6x-0.6

x \to 1^{- 1} lim (- 1.6 x - 0.6)

derivative pi(2t-3)

d er i v a t i v e π (2 t - 3)

derivative ln(x-2)

d er i v a t i v e ln (x - 2)

derivative of (3000/x)

\frac{d}{d x} (\frac{3000}{x})

x(dy)/(dx)-3y=x^3

x \frac{d y}{d x} - 3 y = x^{3}