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Beliebt Rechnen >

derivative 2+5arctan(x/2)

Lösung

ableitung von

2 + 5 arctan (\frac{x}{2})

Lösung

\frac{10}{x ^{2} + 4}

Schritte zur Lösung

\frac{d}{d x} (2 + 5 arctan (\frac{x}{2}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (5 arctan (\frac{x}{2}))

\frac{d}{d x} (2) = 0

\frac{d}{d x} (5 arctan (\frac{x}{2})) = \frac{10}{x ^{2} + 4}

= 0 + \frac{10}{x ^{2} + 4}

Vereinfache

= \frac{10}{x ^{2} + 4}

Graph

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