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Beliebt Rechnen >

derivative of xln(x-x+1)

Lösung

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

Lösung

ln (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d x}{d x} = 1

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

= ln (x) + 1 - 1 + 0

Vereinfache

= ln (x)

Graph

Beliebte Beispiele

integral of ((1+15x))/x

\int \frac{( 1 + 15 x )}{x} d x

integral of (x+5)/(x+1)

\int \frac{x + 5}{x + 1} d x

inverselaplace-1/(s(s^2+1))

in v erse l a pl a ce - \frac{1}{s ( s ^{2} + 1 )}

y^{''}+4y=8sin(2x)

y^{^{''}} + 4 y = 8 sin (2 x)

limit as x approaches 0.5 of (sin(x))/x

x \to 0.5 lim (\frac{sin ( x )}{x})