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Beliebt Rechnen >

derivative of sqrt(x^2+45)

Lösung

\frac{d}{d x} (x^{2} + 45)

Lösung

\frac{x}{x ^{2} + 45}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 45)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} + 45} \frac{d}{d x} (x^{2} + 45)

= \frac{1}{2 x ^{2} + 45} \frac{d}{d x} (x^{2} + 45)

\frac{d}{d x} (x^{2} + 45) = 2 x

= \frac{1}{2 x ^{2} + 45} \cdot 2 x

Vereinfache

\frac{1}{2 x ^{2} + 45} \cdot 2 x : \frac{x}{x ^{2} + 45}

= \frac{x}{x ^{2} + 45}

Graph

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