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Beliebt Rechnen >

derivative of sqrt(9x^2+5)

Lösung

\frac{d}{d x} (9 x^{2} + 5)

Lösung

\frac{9 x}{9 x ^{2} + 5}

Schritte zur Lösung

\frac{d}{d x} (9 x^{2} + 5)

Wende die Kettenregel an:

\frac{1}{2 9 x ^{2} + 5} \frac{d}{d x} (9 x^{2} + 5)

= \frac{1}{2 9 x ^{2} + 5} \frac{d}{d x} (9 x^{2} + 5)

\frac{d}{d x} (9 x^{2} + 5) = 18 x

= \frac{1}{2 9 x ^{2} + 5} \cdot 18 x

Vereinfache

\frac{1}{2 9 x ^{2} + 5} \cdot 18 x : \frac{9 x}{9 x ^{2} + 5}

= \frac{9 x}{9 x ^{2} + 5}

Graph

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