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Beliebt Rechnen >

derivative of ln(3x^2-5x+2)

Lösung

\frac{d}{d x} (ln (3 x^{2} - 5 x + 2))

Lösung

\frac{6 x - 5}{3 x ^{2} - 5 x + 2}

Schritte zur Lösung

\frac{d}{d x} (ln (3 x^{2} - 5 x + 2))

Wende die Kettenregel an:

\frac{1}{3 x ^{2} - 5 x + 2} \frac{d}{d x} (3 x^{2} - 5 x + 2)

= \frac{1}{3 x ^{2} - 5 x + 2} \frac{d}{d x} (3 x^{2} - 5 x + 2)

\frac{d}{d x} (3 x^{2} - 5 x + 2) = 6 x - 5

= \frac{1}{3 x ^{2} - 5 x + 2} (6 x - 5)

Vereinfache

\frac{1}{3 x ^{2} - 5 x + 2} (6 x - 5) : \frac{6 x - 5}{3 x ^{2} - 5 x + 2}

= \frac{6 x - 5}{3 x ^{2} - 5 x + 2}

Graph

Beliebte Beispiele

integral of (x+e^x)^2

\int (x + e^{x})^{2} d x

integral of 1/(sqrt(x^2-3x))

\int \frac{1}{x ^{2} - 3 x} d x

integral of x/((x^2+3)^{3/2)}

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

integral of 4csc(x)

\int 4 csc (x) d x

inverselaplace 4/((s+1)^3)

in v erse l a pl a ce \frac{4}{( s + 1 ) ^{3}}