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Beliebt Rechnen >

derivative of xln(x-1)

Lösung

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

Lösung

ln (x) + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= ln (x) + 1 - 0

Vereinfache

= ln (x) + 1

Graph

Beliebte Beispiele

derivative of x/(arctan(x))

\frac{d}{d x} (\frac{x}{arctan ( x )})

implicit (dy)/(dx),ysin(1/y)=1-xy

im pl i c i t \frac{d y}{d x}, y sin (\frac{1}{y}) = 1 - x y

derivative of log_{8}(sqrt(x))

\frac{d}{d x} (lo g_{8} (x))

integral of 7e^{-0.5x}

\int 7 e^{- 0.5 x} d x

7y^{''}+13y^'-2y=0

7 y^{^{''}} + 13 y^{^{'}} - 2 y = 0