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Beliebt Rechnen >

derivative f(x)=ln(x^2+2)

Lösung

ableitung von

f (x) = ln (x^{2} + 2)

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

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y^{^{''}} + 9 y^{^{'}} + 18 y = 2050 e^{2 t} cos (10 t)

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