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Beliebt Rechnen >

derivative (t^2-2)^2

Lösung

ableitung von

(t^{2} - 2)^{2}

Lösung

4 t (t^{2} - 2)

Schritte zur Lösung

\frac{d}{d t} ((t^{2} - 2)^{2})

Wende die Kettenregel an:

2 (t^{2} - 2) \frac{d}{d t} (t^{2} - 2)

= 2 (t^{2} - 2) \frac{d}{d t} (t^{2} - 2)

\frac{d}{d t} (t^{2} - 2) = 2 t

= 2 (t^{2} - 2) \cdot 2 t

Vereinfache

= 4 t (t^{2} - 2)

Graph

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