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Beliebt Rechnen >

derivative of (x^2-4^3)

Lösung

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

Lösung

6 x (x^{2} - 4)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (x^{2} - 4)^{2} \cdot 2 x

Vereinfache

= 6 x (x^{2} - 4)^{2}

Graph

Beliebte Beispiele

derivative of e^xx+3e^x

\frac{d}{d x} (e^{x} x + 3 e^{x})

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\frac{d}{d x} (2 x cos (y))

derivative (12)/(x^3)

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\int - 8 d x

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l a pl a ce t r an s f or m 15 t^{2}