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Beliebt Rechnen >

derivative of sqrt(100+x^2)

Lösung

\frac{d}{d x} (100 + x^{2})

Lösung

\frac{x}{100 + x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (100 + x^{2})

Wende die Kettenregel an:

\frac{1}{2 100 + x ^{2}} \frac{d}{d x} (100 + x^{2})

= \frac{1}{2 100 + x ^{2}} \frac{d}{d x} (100 + x^{2})

\frac{d}{d x} (100 + x^{2}) = 2 x

= \frac{1}{2 100 + x ^{2}} \cdot 2 x

Vereinfache

\frac{1}{2 100 + x ^{2}} \cdot 2 x : \frac{x}{100 + x ^{2}}

= \frac{x}{100 + x ^{2}}

Graph

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