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Beliebt Rechnen >

derivative y=sqrt(x(x+2))

Lösung

ableitung von

y = x (x + 2)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

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x \to 0 + lim (ln (\frac{1}{5 x}))

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