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Beliebt Rechnen >

derivative of sqrt(4x^2+9)

Lösung

\frac{d}{d x} (4 x^{2} + 9)

Lösung

\frac{4 x}{4 x ^{2} + 9}

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} + 9)

Wende die Kettenregel an:

\frac{1}{2 4 x ^{2} + 9} \frac{d}{d x} (4 x^{2} + 9)

= \frac{1}{2 4 x ^{2} + 9} \frac{d}{d x} (4 x^{2} + 9)

\frac{d}{d x} (4 x^{2} + 9) = 8 x

= \frac{1}{2 4 x ^{2} + 9} \cdot 8 x

Vereinfache

\frac{1}{2 4 x ^{2} + 9} \cdot 8 x : \frac{4 x}{4 x ^{2} + 9}

= \frac{4 x}{4 x ^{2} + 9}

Graph

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