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Beliebt Rechnen >

(ln(x-1))^'

Lösung

(ln (x - 1))^{^{'}}

Lösung

\frac{1}{x - 1}

Schritte zur Lösung

(ln (x - 1))^{'}

Wende die Kettenregel an:

\frac{1}{x - 1} (x - 1)^{'}

= \frac{1}{x - 1} (x - 1)^{'}

(x - 1)^{'} = 1

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

Vereinfache

= \frac{1}{x - 1}

Graph

Beliebte Beispiele

tangent y= x/((1+x^2))

t an g e n t y = \frac{x}{( 1 + x ^{2} )}

integral from-infinity to 3 of 1/(4+x^2)

\int_{- \infty}^{3} \frac{1}{4 + x ^{2}} d x

derivative f(x)=e^{9x}+9e^{9x}x

d er i v a t i v e f (x) = e^{9 x} + 9 e^{9 x} x

integral of 1/((x^2+4)^2)

\int \frac{1}{( x ^{2} + 4 ) ^{2}} d x

integral of 6x(-x^2+5)^7

\int 6 x (- x^{2} + 5)^{7} d x