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Beliebt Rechnen >

derivative of 1/(10-x)

Lösung

\frac{d}{d x} (\frac{1}{10 - x})

Lösung

\frac{1}{( 10 - x ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{10 - x})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((10 - x)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( 10 - x ) ^{2}} \frac{d}{d x} (10 - x)

= - \frac{1}{( 10 - x ) ^{2}} \frac{d}{d x} (10 - x)

\frac{d}{d x} (10 - x) = - 1

= - \frac{1}{( 10 - x ) ^{2}} (- 1)

Vereinfache

= \frac{1}{( 10 - x ) ^{2}}

Graph

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