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Beliebt Rechnen >

derivative of (x^5-7^2)

Lösung

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

Lösung

10 x^{4} (x^{5} - 7)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 10 x^{4} (x^{5} - 7)

Graph

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