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Beliebt Rechnen >

derivative of (2x^2-5x+7^3)

Lösung

\frac{d}{d x} ((2 x^{2} - 5 x + 7)^{3})

Lösung

3 (2 x^{2} - 5 x + 7)^{2} (4 x - 5)

Schritte zur Lösung

\frac{d}{d x} ((2 x^{2} - 5 x + 7)^{3})

Wende die Kettenregel an:

3 (2 x^{2} - 5 x + 7)^{2} \frac{d}{d x} (2 x^{2} - 5 x + 7)

= 3 (2 x^{2} - 5 x + 7)^{2} \frac{d}{d x} (2 x^{2} - 5 x + 7)

\frac{d}{d x} (2 x^{2} - 5 x + 7) = 4 x - 5

= 3 (2 x^{2} - 5 x + 7)^{2} (4 x - 5)

Graph

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