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Beliebt Rechnen >

derivative (8x^3-5x+2)^pi

Lösung

ableitung von

(8 x^{3} - 5 x + 2)^{π}

Lösung

π (8 x^{3} - 5 x + 2)^{π - 1} (24 x^{2} - 5)

Schritte zur Lösung

\frac{d}{d x} ((8 x^{3} - 5 x + 2)^{π})

Wende die Kettenregel an:

π (8 x^{3} - 5 x + 2)^{π - 1} \frac{d}{d x} (8 x^{3} - 5 x + 2)

= π (8 x^{3} - 5 x + 2)^{π - 1} \frac{d}{d x} (8 x^{3} - 5 x + 2)

\frac{d}{d x} (8 x^{3} - 5 x + 2) = 24 x^{2} - 5

= π (8 x^{3} - 5 x + 2)^{π - 1} (24 x^{2} - 5)

Graph

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