derivative of sqrt(1-2/x)

Lösung

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

\frac{1}{x ^{\frac{3}{2}} x - 2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\int 4 - 2 x^{2} d x

x \to 2.99 lim (x^{2} + 3 x)

l a pl a ce t r an s f or m e^{8}

x \to - 4 lim (x^{2} - 1)

\frac{\partial}{\partial x} (3 x^{2} + y cos (x y))