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Beliebt Rechnen >

derivative of ln(3x^2-2x)

Lösung

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

Lösung

\frac{6 x - 2}{3 x ^{2} - 2 x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{3 x ^{2} - 2 x} (6 x - 2)

Vereinfache

\frac{1}{3 x ^{2} - 2 x} (6 x - 2) : \frac{6 x - 2}{3 x ^{2} - 2 x}

= \frac{6 x - 2}{3 x ^{2} - 2 x}

Graph

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derivative ln(15)

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integral from 0 to 4 of 1/(sqrt(16+t^2))

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\int 8 x (4 x^{2} - 3)^{5} d x

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\int \frac{x}{x ^{2} + 4 x + 13} d x

d er i v a t i v e 4 x