derivative (sqrt(s)-1)/(sqrt(s)+1)

Lösung

ableitung von

\frac{s - 1}{s + 1}

\frac{1}{s ( s + 1 ) ^{2}}

Schritte zur Lösung

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

Wende die Quotientenregel an:

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

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

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

\frac{d}{d s} (s + 1) = \frac{1}{2 s}

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

Vereinfache

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

= \frac{1}{s ( s + 1 ) ^{2}}

\frac{\partial}{\partial x} (e^{y} e^{x})

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

l a pl a ce t r an s f or m - 2 t

\frac{\partial}{\partial x} (ln (\frac{x + y}{x - y}))

\int_{0}^{1} v^{2} cos (v^{3}) d v