derivative sqrt(x^2+2)

Lösung

ableitung von

x^{2} + 2

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

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