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Beliebt Rechnen >

derivative g(x)=ln(2x^2+4)

Lösung

ableitung von

g (x) = ln (2 x^{2} + 4)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

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