derivative of (x-2/x+ln(x/2))

Lösung

\frac{d}{d x} (\frac{x - 2}{x} + ln (\frac{x}{2}))

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

Schritte zur Lösung

\frac{d}{d x} (\frac{x - 2}{x} + ln (\frac{x}{2}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x - 2}{x}) + \frac{d}{d x} (ln (\frac{x}{2}))

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

\frac{d}{d x} (ln (\frac{x}{2})) = \frac{1}{x}

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

\int_{- \infty}^{5} x e^{x} d x

\frac{1}{( 1 + 2 y ^{2} )} y^{^{'}} = csc (x)

x \to 0 lim ((x + e^{\frac{x}{6}})^{\frac{6}{x}})

\int (a + b x^{3})^{3} d x

x \to 3 lim (- 2 x^{3})