derivative of ((x-2/(x-pi))^{-3})

Lösung

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

- \frac{3 ( - π + 2 ) ( x - π ) ^{2}}{( x - 2 ) ^{4}}

Schritte zur Lösung

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

Wende die Kettenregel an:

- \frac{3}{( \frac{x - 2}{x - π} ) ^{4}} \frac{d}{d x} (\frac{x - 2}{x - π})

= - \frac{3}{( \frac{x - 2}{x - π} ) ^{4}} \frac{d}{d x} (\frac{x - 2}{x - π})

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

= - \frac{3}{( \frac{x - 2}{x - π} ) ^{4}} \cdot \frac{- π + 2}{( x - π ) ^{2}}

Vereinfache

- \frac{3}{( \frac{x - 2}{x - π} ) ^{4}} \cdot \frac{- π + 2}{( x - π ) ^{2}} : - \frac{3 ( - π + 2 ) ( x - π ) ^{2}}{( x - 2 ) ^{4}}

= - \frac{3 ( - π + 2 ) ( x - π ) ^{2}}{( x - 2 ) ^{4}}

\frac{\partial}{\partial x} (e^{- x^{2} + y^{2}})

d er i v a t i v e 4^{r}

\int cos (2 x) cos (7 x) d x

(x, y) \to (0, 0) lim (\frac{sin ( x y )}{x ^{2} + y ^{2}})

\int_{- 2}^{2} (32 - 8 y^{2}) d y