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Beliebt Rechnen >

derivative of (x^2+40x/5)

Lösung

\frac{d}{d x} (\frac{x ^{2} + 40 x}{5})

Lösung

\frac{1}{5} (2 x + 40)

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} + 40 x}{5})

Entferne die Konstante:

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

= \frac{1}{5} \frac{d}{d x} (x^{2} + 40 x)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{5} (\frac{d}{d x} (x^{2}) + \frac{d}{d x} (40 x))

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

\frac{d}{d x} (40 x) = 40

= \frac{1}{5} (2 x + 40)

Graph

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