derivative (sqrt(s)-2)/(sqrt(s)+4)

Lösung

ableitung von

\frac{s - 2}{s + 4}

\frac{3}{s ( s + 4 ) ^{2}}

Schritte zur Lösung

\frac{d}{d s} (\frac{s - 2}{s + 4})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d s} ( s - 2 ) ( s + 4 ) - \frac{d}{d s} ( s + 4 ) ( s - 2 )}{( s + 4 ) ^{2}}

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

\frac{d}{d s} (s + 4) = \frac{1}{2 s}

= \frac{\frac{1}{2 s} ( s + 4 ) - \frac{1}{2 s} ( s - 2 )}{( s + 4 ) ^{2}}

Vereinfache

\frac{\frac{1}{2 s} ( s + 4 ) - \frac{1}{2 s} ( s - 2 )}{( s + 4 ) ^{2}} : \frac{3}{s ( s + 4 ) ^{2}}

= \frac{3}{s ( s + 4 ) ^{2}}

n = 1 \sum \infty 2 (\frac{3}{4})^{n}

l c m \frac{sec ^{2} ( x )}{4}, 4 cos^{2} (x)

x \to - 2 + lim (\frac{( x + 3 )}{x + 2})

d er i v a t i v e f (x) = 8 x sin (x)

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