derivative of ln(sqrt(x-2))

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{x - 2} \cdot \frac{1}{2 x - 2} : \frac{1}{2 ( x - 2 )}

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

\int_{0}^{π} (5 e^{x} + 5 sin (x)) d x

d er i v a t i v e f (x) = \frac{1}{2 x}

\frac{\partial}{\partial x} (sin (x y^{2}))

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

x \to - 1 lim (lo g_{10} (x))