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Beliebt Rechnen >

derivative (x^2-6x+8)^4

Lösung

ableitung von

(x^{2} - 6 x + 8)^{4}

Lösung

4 (x^{2} - 6 x + 8)^{3} (2 x - 6)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 6 x + 8)^{4})

Wende die Kettenregel an:

4 (x^{2} - 6 x + 8)^{3} \frac{d}{d x} (x^{2} - 6 x + 8)

= 4 (x^{2} - 6 x + 8)^{3} \frac{d}{d x} (x^{2} - 6 x + 8)

\frac{d}{d x} (x^{2} - 6 x + 8) = 2 x - 6

= 4 (x^{2} - 6 x + 8)^{3} (2 x - 6)

Graph

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