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Beliebt Rechnen >

derivative f(x)=(x^2-36)/(x-6)

Lösung

ableitung von

f (x) = \frac{x ^{2} - 36}{x - 6}

Lösung

1

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} - 36}{x - 6})

Vereinfache

\frac{x ^{2} - 36}{x - 6} : x + 6

= \frac{d}{d x} (x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} + \frac{d}{d x} (6)

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

\frac{d}{d x} (6) = 0

= 1 + 0

Vereinfache

= 1

Graph

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