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Beliebt Rechnen >

derivative of (x^2-3x+4^4)

Lösung

\frac{d}{d x} ((x^{2} - 3 x + 4)^{4})

Lösung

4 (x^{2} - 3 x + 4)^{3} (2 x - 3)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 3 x + 4)^{4})

Wende die Kettenregel an:

4 (x^{2} - 3 x + 4)^{3} \frac{d}{d x} (x^{2} - 3 x + 4)

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

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

= 4 (x^{2} - 3 x + 4)^{3} (2 x - 3)

Graph

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