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Beliebt Rechnen >

derivative of ax+ln(x)

Lösung

\frac{d}{d x} (a x + ln (x))

Lösung

a + \frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (a x + ln (x))

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (a x) = a

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

= a + \frac{1}{x}

Graph

Beliebte Beispiele

integral of (x^2+y^2)^{1/2}

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

integral of-xe^{-x}

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

integral of (4x+7)

\int (4 x + 7) d x

limit as x approaches 3 of 8

x \to 3 lim (8)

derivative of \sqrt[4]{x^3+4x^2+7}

\frac{d}{d x} (4 x^{3} + 4 x^{2} + 7)