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Beliebt Rechnen >

derivative (2x+1)^{-2}

Lösung

ableitung von

(2 x + 1)^{- 2}

Lösung

- \frac{4}{( 2 x + 1 ) ^{3}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

- \frac{2}{( 2 x + 1 ) ^{3}} \cdot 2 : - \frac{4}{( 2 x + 1 ) ^{3}}

= - \frac{4}{( 2 x + 1 ) ^{3}}

Graph

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