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Beliebt Rechnen >

derivative arccot(8y)

Lösung

ableitung von

arccot (8 y)

Lösung

- \frac{8}{64 y ^{2} + 1}

Schritte zur Lösung

\frac{d}{d y} (arccot (8 y))

Wende die Kettenregel an:

- \frac{1}{( 8 y ) ^{2} + 1} \frac{d}{d y} (8 y)

= - \frac{1}{( 8 y ) ^{2} + 1} \frac{d}{d y} (8 y)

\frac{d}{d y} (8 y) = 8

= - \frac{1}{( 8 y ) ^{2} + 1} \cdot 8

Vereinfache

- \frac{1}{( 8 y ) ^{2} + 1} \cdot 8 : - \frac{8}{64 y ^{2} + 1}

= - \frac{8}{64 y ^{2} + 1}

Graph

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