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Beliebt Rechnen >

derivative of x+4/(x-4)

Lösung

\frac{d}{d x} (x + \frac{4}{x - 4})

Lösung

1 - \frac{4}{( x - 4 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x + \frac{4}{x - 4})

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} + \frac{d}{d x} (\frac{4}{x - 4})

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

\frac{d}{d x} (\frac{4}{x - 4}) = - \frac{4}{( x - 4 ) ^{2}}

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

Graph

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