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Beliebt Rechnen >

derivative of ln(3x^2+4)

Lösung

\frac{d}{d x} (ln (3 x^{2} + 4))

Lösung

\frac{6 x}{3 x ^{2} + 4}

Schritte zur Lösung

\frac{d}{d x} (ln (3 x^{2} + 4))

Wende die Kettenregel an:

\frac{1}{3 x ^{2} + 4} \frac{d}{d x} (3 x^{2} + 4)

= \frac{1}{3 x ^{2} + 4} \frac{d}{d x} (3 x^{2} + 4)

\frac{d}{d x} (3 x^{2} + 4) = 6 x

= \frac{1}{3 x ^{2} + 4} \cdot 6 x

Vereinfache

\frac{1}{3 x ^{2} + 4} \cdot 6 x : \frac{6 x}{3 x ^{2} + 4}

= \frac{6 x}{3 x ^{2} + 4}

Graph

Beliebte Beispiele

derivative of 24x^{3/2}

\frac{d}{d x} (24 x^{\frac{3}{2}})

vereinfachen (2x)/(sqrt(x^2+1))

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f (x) = x 2

integral of ((ln(z))^6)/z

\int \frac{( ln ( z ) ) ^{6}}{z} d z

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