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Beliebt Rechnen >

derivative x/(x+25)

Lösung

ableitung von

\frac{x}{x + 25}

Lösung

\frac{25}{( x + 25 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{x + 25})

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d x}{d x} ( x + 25 ) - \frac{d}{d x} ( x + 25 ) x}{( x + 25 ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (x + 25) = 1

= \frac{1 \cdot ( x + 25 ) - 1 \cdot x}{( x + 25 ) ^{2}}

1 \cdot (x + 25) - 1 \cdot x = 25

= \frac{25}{( x + 25 ) ^{2}}

Graph

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