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Beliebt Rechnen >

derivative 1/(6x+7)

Lösung

ableitung von

\frac{1}{6 x + 7}

Lösung

- \frac{6}{( 6 x + 7 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{6 x + 7})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((6 x + 7)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( 6 x + 7 ) ^{2}} \frac{d}{d x} (6 x + 7)

= - \frac{1}{( 6 x + 7 ) ^{2}} \frac{d}{d x} (6 x + 7)

\frac{d}{d x} (6 x + 7) = 6

= - \frac{1}{( 6 x + 7 ) ^{2}} \cdot 6

Vereinfache

- \frac{1}{( 6 x + 7 ) ^{2}} \cdot 6 : - \frac{6}{( 6 x + 7 ) ^{2}}

= - \frac{6}{( 6 x + 7 ) ^{2}}

Graph

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