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Beliebt Rechnen >

(\partial)/(\partial x)(ln(k/x))

Lösung

\frac{\partial}{\partial x} (ln (\frac{k}{x}))

Lösung

- \frac{1}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (\frac{k}{x}))

Wende die Kettenregel an:

\frac{1}{\frac{k}{x}} \frac{\partial}{\partial x} (\frac{k}{x})

= \frac{1}{\frac{k}{x}} \frac{\partial}{\partial x} (\frac{k}{x})

\frac{\partial}{\partial x} (\frac{k}{x}) = - \frac{k}{x ^{2}}

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

Vereinfache

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

= - \frac{1}{x}

Beliebte Beispiele

integral of e^{5x}cos(6x)

\int e^{5 x} cos (6 x) d x

derivative of (ln(x^2)^{-3})

\frac{d}{d x} ((ln (x^{2}))^{- 3})

derivative of 2sin(pix+3cos(pi)x)

\frac{d}{d x} (2 sin (π) x + 3 cos (π) x)

f (x) = \frac{7}{1 - x}

limit as x approaches 1.999 of 2x+3

x \to 1.999 lim (2 x + 3)