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Beliebt Rechnen >

derivative y=(9x^2+4x+4)^5

Lösung

ableitung von

y = (9 x^{2} + 4 x + 4)^{5}

Lösung

5 (9 x^{2} + 4 x + 4)^{4} (18 x + 4)

Schritte zur Lösung

\frac{d}{d x} ((9 x^{2} + 4 x + 4)^{5})

Wende die Kettenregel an:

5 (9 x^{2} + 4 x + 4)^{4} \frac{d}{d x} (9 x^{2} + 4 x + 4)

= 5 (9 x^{2} + 4 x + 4)^{4} \frac{d}{d x} (9 x^{2} + 4 x + 4)

\frac{d}{d x} (9 x^{2} + 4 x + 4) = 18 x + 4

= 5 (9 x^{2} + 4 x + 4)^{4} (18 x + 4)

Graph

Beliebte Beispiele

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