(\partial}{\partial x}(ln(\frac{x-2)/3))

Lösung

\frac{\partial}{\partial x} (ln (\frac{x - 2}{3}))

\frac{1}{x - 2}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (\frac{x - 2}{3}))

Wende die Kettenregel an:

\frac{1}{\frac{x - 2}{3}} \frac{\partial}{\partial x} (\frac{x - 2}{3})

= \frac{1}{\frac{x - 2}{3}} \frac{\partial}{\partial x} (\frac{x - 2}{3})

\frac{\partial}{\partial x} (\frac{x - 2}{3}) = \frac{1}{3}

= \frac{1}{\frac{x - 2}{3}} \cdot \frac{1}{3}

Vereinfache

\frac{1}{\frac{x - 2}{3}} \cdot \frac{1}{3} : \frac{1}{x - 2}

= \frac{1}{x - 2}

x \to 7 lim (\frac{x - 7}{∣ x - 7 ∣})

x \to 0 lim (x^{2} + 3 x + 1)

y^{^{''}} + 4 y^{^{'}} + 3 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

2 y d y = \frac{5}{x} d x

\frac{d}{d x} (\frac{x + 1}{x + 3})