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Beliebt Rechnen >

derivative of-6cos(x/2+5x)

Lösung

\frac{d}{d x} (- 6 cos (\frac{x}{2}) + 5 x)

Lösung

3 sin (\frac{x}{2}) + 5

Schritte zur Lösung

\frac{d}{d x} (- 6 cos (\frac{x}{2}) + 5 x)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (6 cos (\frac{x}{2})) + \frac{d}{d x} (5 x)

\frac{d}{d x} (6 cos (\frac{x}{2})) = - 3 sin (\frac{x}{2})

\frac{d}{d x} (5 x) = 5

= - (- 3 sin (\frac{x}{2})) + 5

Vereinfache

= 3 sin (\frac{x}{2}) + 5

Graph

Beliebte Beispiele

integral of 2ysin(x)+2

\int 2 y sin (x) + 2 d y

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x \to 0 lim (\frac{( 1 - x ) ^{n} - 1}{x})

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\int \frac{x - 2}{x - 1} d x

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\int x^{3} e^{\frac{x}{2}} d x