derivative of (2-x/x)

Lösung

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

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

Schritte zur Lösung

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

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

\frac{d x}{d x} = 1

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

Vereinfache

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

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

\int_{- π}^{π} cos (n x) d x

y^{^{'}} = cos (x)

in v erse l a pl a ce \frac{e ^{- 2 s}}{s + 3}

\frac{d}{d x} (x^{2} \cdot tan (x))

in v erse l a pl a ce \frac{s + 3}{s ^{2} + 6 s + 13}