derivative of sqrt(26x-x^2)

Lösung

\frac{d}{d x} (26 x - x^{2})

\frac{13 - x}{26 x - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (26 x - x^{2})

Wende die Kettenregel an:

\frac{1}{2 26 x - x ^{2}} \frac{d}{d x} (26 x - x^{2})

= \frac{1}{2 26 x - x ^{2}} \frac{d}{d x} (26 x - x^{2})

\frac{d}{d x} (26 x - x^{2}) = 26 - 2 x

= \frac{1}{2 26 x - x ^{2}} (26 - 2 x)

Vereinfache

\frac{1}{2 26 x - x ^{2}} (26 - 2 x) : \frac{13 - x}{26 x - x ^{2}}

= \frac{13 - x}{26 x - x ^{2}}

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