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Beliebt Rechnen >

derivative of sqrt(18x-x^2)

Lösung

\frac{d}{d x} (18 x - x^{2})

Lösung

\frac{9 - x}{18 x - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (18 x - x^{2})

Wende die Kettenregel an:

\frac{1}{2 18 x - x ^{2}} \frac{d}{d x} (18 x - x^{2})

= \frac{1}{2 18 x - x ^{2}} \frac{d}{d x} (18 x - x^{2})

\frac{d}{d x} (18 x - x^{2}) = 18 - 2 x

= \frac{1}{2 18 x - x ^{2}} (18 - 2 x)

Vereinfache

\frac{1}{2 18 x - x ^{2}} (18 - 2 x) : \frac{9 - x}{18 x - x ^{2}}

= \frac{9 - x}{18 x - x ^{2}}

Graph

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