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Beliebt Rechnen >

derivative of (-4x^2+25^2)

Lösung

\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

Lösung

- 16 x (- 4 x^{2} + 25)

Schritte zur Lösung

\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

Wende die Kettenregel an:

2 (- 4 x^{2} + 25) \frac{d}{d x} (- 4 x^{2} + 25)

= 2 (- 4 x^{2} + 25) \frac{d}{d x} (- 4 x^{2} + 25)

\frac{d}{d x} (- 4 x^{2} + 25) = - 8 x

= 2 (- 4 x^{2} + 25) (- 8 x)

Vereinfache

= - 16 x (- 4 x^{2} + 25)

Graph

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