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Beliebt Rechnen >

derivative of (x^2-3x-54/(x+6))

Lösung

\frac{d}{d x} (\frac{x ^{2} - 3 x - 54}{x + 6})

Lösung

1

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} - 3 x - 54}{x + 6})

Vereinfache

\frac{x ^{2} - 3 x - 54}{x + 6} : x - 9

= \frac{d}{d x} (x - 9)

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} - \frac{d}{d x} (9)

\frac{d x}{d x} = 1

\frac{d}{d x} (9) = 0

= 1 - 0

Vereinfache

= 1

Graph

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