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Beliebt Rechnen >

derivative f(x)=ln(x-1)

Lösung

ableitung von

f (x) = ln (x - 1)

Lösung

\frac{1}{x - 1}

Schritte zur Lösung

\frac{d}{d x} (ln (x - 1))

Wende die Kettenregel an:

\frac{1}{x - 1} \frac{d}{d x} (x - 1)

= \frac{1}{x - 1} \frac{d}{d x} (x - 1)

\frac{d}{d x} (x - 1) = 1

= \frac{1}{x - 1} \cdot 1

Vereinfache

= \frac{1}{x - 1}

Graph

Beliebte Beispiele

integral of (12x^2-8x+2)

\int (12 x^{2} - 8 x + 2) d x

(dy}{dx}=\frac{(x-1))/y

\frac{d y}{d x} = \frac{( x - 1 )}{y}

derivative of 7arcsin(x^2)

\frac{d}{d x} (7 arcsin (x^{2}))

integral of (sqrt(2y^2-3))/(y^2)

\int \frac{2 y ^{2} - 3}{y ^{2}} d y

derivative of (2x^{4x})

\frac{d}{d x} ((2 x)^{4 x})