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Beliebt Rechnen >

derivative of x^2en(x)

Lösung

\frac{d}{d x} (x^{2} e n (x))

Lösung

3 e n x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{2} e n (x))

Vereinfache

x^{2} e n (x) : e n x^{3}

= \frac{d}{d x} (e n x^{3})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= e n \frac{d}{d x} (x^{3})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= e n \cdot 3 x^{3 - 1}

Vereinfache

= 3 e n x^{2}

Graph

Beliebte Beispiele

derivative y=tan(3x)

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\int \frac{( x ^{2} + 2 )}{( x + 2 )} d x

limit as x approaches 0 of 6x+|x-5|

x \to 0 lim (6 x + ∣ x - 5 ∣)