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Beliebt Rechnen >

derivative y=sqrt(x(x+11))

Lösung

ableitung von

y = x (x + 11)

Lösung

\frac{2 x + 11}{2 x ( x + 11 )}

Schritte zur Lösung

\frac{d}{d x} (x (x + 11))

Wende die Kettenregel an:

\frac{1}{2 x ( x + 11 )} \frac{d}{d x} (x (x + 11))

= \frac{1}{2 x ( x + 11 )} \frac{d}{d x} (x (x + 11))

\frac{d}{d x} (x (x + 11)) = 2 x + 11

= \frac{1}{2 x ( x + 11 )} (2 x + 11)

Vereinfache

\frac{1}{2 x ( x + 11 )} (2 x + 11) : \frac{2 x + 11}{2 x ( x + 11 )}

= \frac{2 x + 11}{2 x ( x + 11 )}

Graph

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