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Beliebt Rechnen >

derivative of sin(2x+cos(x))

Lösung

\frac{d}{d x} (sin (2 x) + cos (x))

Lösung

cos (2 x) \cdot 2 - sin (x)

Schritte zur Lösung

\frac{d}{d x} (sin (2 x) + cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (2 x)) + \frac{d}{d x} (cos (x))

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

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

= cos (2 x) \cdot 2 - sin (x)

Graph

Beliebte Beispiele

integral of cos(x/(sqrt(2)))

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

(1 + x) d y - y d x = 0

limit as x approaches infinity of 6^x

x \to \infty lim (6^{x})

limit as x approaches 0-of f(x)

x \to 0 - lim (f (x))

derivative f(x)=-3e^{x+1}

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