derivative f(x)=(x^2-8)^2

Lösung

ableitung von

f (x) = (x^{2} - 8)^{2}

4 x (x^{2} - 8)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 8)^{2})

Wende die Kettenregel an:

2 (x^{2} - 8) \frac{d}{d x} (x^{2} - 8)

= 2 (x^{2} - 8) \frac{d}{d x} (x^{2} - 8)

\frac{d}{d x} (x^{2} - 8) = 2 x

= 2 (x^{2} - 8) \cdot 2 x

Vereinfache

= 4 x (x^{2} - 8)

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