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Beliebt Rechnen >

derivative (0.1x^2-4.2x+6.5)^{1.5}

Lösung

ableitung von

(0.1 x^{2} - 4.2 x + 6.5)^{1.5}

Lösung

1.5 0.1 x^{2} - 4.2 x + 6.5 (0.2 x - 4.2)

Schritte zur Lösung

\frac{d}{d x} ((0.1 x^{2} - 4.2 x + 6.5)^{1.5})

Wende die Kettenregel an:

1.5 0.1 x^{2} - 4.2 x + 6.5 \frac{d}{d x} (0.1 x^{2} - 4.2 x + 6.5)

= 1.5 0.1 x^{2} - 4.2 x + 6.5 \frac{d}{d x} (0.1 x^{2} - 4.2 x + 6.5)

\frac{d}{d x} (0.1 x^{2} - 4.2 x + 6.5) = 0.2 x - 4.2

= 1.5 0.1 x^{2} - 4.2 x + 6.5 (0.2 x - 4.2)

Graph

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