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Beliebt Rechnen >

derivative of (2x^2+x^{200})

Lösung

\frac{d}{d x} ((2 x^{2} + x)^{200})

Lösung

200 (2 x^{2} + x)^{199} (4 x + 1)

Schritte zur Lösung

\frac{d}{d x} ((2 x^{2} + x)^{200})

Wende die Kettenregel an:

200 (2 x^{2} + x)^{199} \frac{d}{d x} (2 x^{2} + x)

= 200 (2 x^{2} + x)^{199} \frac{d}{d x} (2 x^{2} + x)

\frac{d}{d x} (2 x^{2} + x) = 4 x + 1

= 200 (2 x^{2} + x)^{199} (4 x + 1)

Graph

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