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Beliebt Rechnen >

derivative of (2x^5-3^8)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

= 8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

\frac{d}{d x} (2 x^{5} - 3) = 10 x^{4}

= 8 (2 x^{5} - 3)^{7} \cdot 10 x^{4}

Vereinfache

= 80 x^{4} (2 x^{5} - 3)^{7}

Graph

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