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Beliebt Rechnen >

derivative of 1/x+ln(x)

Lösung

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

Lösung

- \frac{1}{x ^{2}} + \frac{1}{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

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

= - \frac{1}{x ^{2}} + \frac{1}{x}

Graph

Beliebte Beispiele

tangent 5x^2-x^3

t an g e n t 5 x^{2} - x^{3}

f(x)= 1/(x^2+4)

f (x) = \frac{1}{x ^{2} + 4}

tangent f(x)=(5x)/(x^2-4),\at x=3

t an g e n t f (x) = \frac{5 x}{x ^{2} - 4}, at x = 3

limit as x approaches 6 of sqrt(x-6)

x \to 6 lim (x - 6)

integral of-2tan(x)

\int - 2 tan (x) d x