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Beliebt Rechnen >

derivative of 1/(a-x)

Lösung

\frac{d}{d x} (\frac{1}{a - x})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{a - x})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((a - x)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( a - x ) ^{2}} \frac{d}{d x} (a - x)

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

\frac{d}{d x} (a - x) = - 1

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

Vereinfache

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

Graph

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