derivative ((x+1))/(x-1)

Lösung

ableitung von

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

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

Schritte zur Lösung

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

Wende die Quotientenregel an:

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

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

\frac{d}{d x} (x + 1) = 1

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

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

Vereinfache

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

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

t an g e n t y = sin (2 x) ln (x^{2}), (1, 0)

\int sinh (x) cosh (x) d x

t a y l or 1 - x, 0

y^{^{''}} + 3 y^{^{'}} + 2 y = cos (2 x)

a re a y = x, y = x^{3}, [- 1, 2]