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Beliebt Rechnen >

derivative of 40(x^2-2x)

Lösung

\frac{d}{d x} (40 (x^{2} - 2 x))

Lösung

40 (2 x - 2)

Schritte zur Lösung

\frac{d}{d x} (40 (x^{2} - 2 x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 40 \frac{d}{d x} (x^{2} - 2 x)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 40 (\frac{d}{d x} (x^{2}) - \frac{d}{d x} (2 x))

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (2 x) = 2

= 40 (2 x - 2)

Graph

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