derivative of ln(4/x)

Lösung

\frac{d}{d x} (ln (\frac{4}{x}))

- \frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (\frac{4}{x}))

Wende die Kettenregel an:

\frac{1}{\frac{4}{x}} \frac{d}{d x} (\frac{4}{x})

= \frac{1}{\frac{4}{x}} \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

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

Vereinfache

\frac{1}{\frac{4}{x}} (- \frac{4}{x ^{2}}) : - \frac{1}{x}

= - \frac{1}{x}

d er i v a t i v e \frac{5}{2 x ^{3}}

w \to 0 lim (\frac{sec ( 2 w ) - 1}{w sec ( 2 w )})

a re a y = x, y = 8 - x, y = 0

y^{^{'}} = y^{2} sin (x^{2}), y (- 2) = \frac{1}{3}

x \to 0 lim (g (x) (f (x)))