derivative of-x+2/x+1

Lösung

\frac{d}{d x} (- x + \frac{2}{x} + 1)

- \frac{2}{x ^{2}} - 1

Schritte zur Lösung

\frac{d}{d x} (- x + \frac{2}{x} + 1)

Wende die Summen-/Differenzregel an:

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

= - \frac{d x}{d x} + \frac{d}{d x} (\frac{2}{x}) + \frac{d}{d x} (1)

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

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

\frac{d}{d x} (1) = 0

= - 1 - \frac{2}{x ^{2}} + 0

Vereinfache

= - \frac{2}{x ^{2}} - 1

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