derivative of sqrt(x-2\sqrt{x-2)}

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\frac{d}{d x} ((1 + x)^{\frac{1}{2}})

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

\int_{- 1}^{2} (8 - x^{2}) d x

\frac{d}{d x} (3 cos (4 x))

\frac{\partial}{\partial t} (4 e^{s i n (x + 3 c t)})