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Beliebt Rechnen >

derivative of x^2+pi^2+x^pi

Lösung

\frac{d}{d x} (x^{2} + π^{2} + x^{π})

Lösung

2 x + π x^{π - 1}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + π^{2} + x^{π})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (π^{2}) + \frac{d}{d x} (x^{π})

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

\frac{d}{d x} (π^{2}) = 0

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= 2 x + 0 + π x^{π - 1}

Vereinfache

= 2 x + π x^{π - 1}

Graph

Beliebte Beispiele

limit as x approaches infinity of 24

x \to \infty lim (24)

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