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Beliebt Rechnen >

derivative of ln(x-1+1)

Lösung

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

Lösung

\frac{1}{x - 1}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (1) = 0

= \frac{1}{x - 1} + 0

Vereinfache

= \frac{1}{x - 1}

Graph

Beliebte Beispiele

limit as x approaches 2 of xln(x/(x-2))

x \to 2 lim (x ln (\frac{x}{x - 2}))

tangent f(x)=4x^2+5x+17

t an g e n t f (x) = 4 x^{2} + 5 x + 17

derivative of 4x-6

\frac{d}{d x} (4 x - 6)

steigung (-1.2)(0)

s l o p e (- 1.2) (0)

integral of (5x^3+2x^2-6x+3)

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