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Beliebt Rechnen >

derivative 1/(sqrt(x-3))

Lösung

ableitung von

\frac{1}{x - 3}

Lösung

- \frac{1}{2 ( x - 3 ) ^{\frac{3}{2}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x - 3})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((x - 3)^{- \frac{1}{2}})

Wende die Kettenregel an:

- \frac{1}{2 ( x - 3 ) ^{\frac{3}{2}}} \frac{d}{d x} (x - 3)

= - \frac{1}{2 ( x - 3 ) ^{\frac{3}{2}}} \frac{d}{d x} (x - 3)

\frac{d}{d x} (x - 3) = 1

= - \frac{1}{2 ( x - 3 ) ^{\frac{3}{2}}} \cdot 1

Vereinfache

= - \frac{1}{2 ( x - 3 ) ^{\frac{3}{2}}}

Graph

Beliebte Beispiele

derivative of ln(yx)

\frac{d}{d x} (ln (y x))

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