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Beliebt Rechnen >

derivative of (2x^2/3-sin(x)+3)

Lösung

\frac{d}{d x} (\frac{2 x ^{2}}{3} - sin (x) + 3)

Lösung

\frac{4 x}{3} - cos (x)

Schritte zur Lösung

\frac{d}{d x} (\frac{2 x ^{2}}{3} - sin (x) + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{2 x ^{2}}{3}) - \frac{d}{d x} (sin (x)) + \frac{d}{d x} (3)

\frac{d}{d x} (\frac{2 x ^{2}}{3}) = \frac{4 x}{3}

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

\frac{d}{d x} (3) = 0

= \frac{4 x}{3} - cos (x) + 0

Vereinfache

= \frac{4 x}{3} - cos (x)

Graph

Beliebte Beispiele

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

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

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\int a x (x - 4) d x

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integral of (x^2)/(x^2+x+56)

\int \frac{x ^{2}}{x ^{2} + x + 56} d x