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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of x/(4+x)

\frac{d}{d x} (\frac{x}{4 + x})

3y^{''}+8y^'-16y=0

3 y^{^{''}} + 8 y^{^{'}} - 16 y = 0

y^{''}+4y=e^{-x}

y^{^{''}} + 4 y = e^{- x}

(\partial)/(\partial x)(t^2e^{-x})

\frac{\partial}{\partial x} (t^{2} e^{- x})

integral of 2x(x^2+1)^5

\int 2 x (x^{2} + 1)^{5} d x