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Beliebt Rechnen >

(\partial)/(\partial x)(ln(x^2+3))

Lösung

\frac{\partial}{\partial x} (ln (x^{2} + 3))

Lösung

\frac{2 x}{x ^{2} + 3}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (x^{2} + 3))

Wende die Kettenregel an:

\frac{1}{x ^{2} + 3} \frac{\partial}{\partial x} (x^{2} + 3)

= \frac{1}{x ^{2} + 3} \frac{\partial}{\partial x} (x^{2} + 3)

\frac{\partial}{\partial x} (x^{2} + 3) = 2 x

= \frac{1}{x ^{2} + 3} \cdot 2 x

Vereinfache

\frac{1}{x ^{2} + 3} \cdot 2 x : \frac{2 x}{x ^{2} + 3}

= \frac{2 x}{x ^{2} + 3}

Beliebte Beispiele

limit as x approaches 2 of (2x-4)/(x-2)

x \to 2 lim (\frac{2 x - 4}{x - 2})

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\frac{\partial}{\partial y} (x^{5} ln (y^{6}))