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Beliebt Rechnen >

((x-2)^2(x+4))^'

Lösung

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

Lösung

3 x^{2} - 12

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = (x - 2)^{2}, g = x + 4

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

((x - 2)^{2})^{'} = 2 (x - 2)

(x + 4)^{'} = 1

= 2 (x - 2) (x + 4) + 1 \cdot (x - 2)^{2}

Vereinfache

2 (x - 2) (x + 4) + 1 \cdot (x - 2)^{2} : 3 x^{2} - 12

= 3 x^{2} - 12

Graph

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