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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{3 x - 4}{x ( x - 2 )}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{x ^{3} - 2 x ^{2}} (3 x^{2} - 4 x) : \frac{3 x - 4}{x ( x - 2 )}

= \frac{3 x - 4}{x ( x - 2 )}

Graph

Beliebte Beispiele

integral of cos(0)

\int cos (0)

y^'=(e^{x+y})/(1+e^x),y(1)=0

y^{^{'}} = \frac{e ^{x + y}}{1 + e ^{x}}, y (1) = 0

integral of 2^{2-2x}

\int 2^{2 - 2 x} d x

derivative of 2e^{3x^2+6x+7}

\frac{d}{d x} (2 e^{3 x^{2} + 6 x + 7})

integral of cos(3x-2)

\int cos (3 x - 2) d x