derivative ((x+11))/((x-11))

Lösung

ableitung von

\frac{( x + 11 )}{( x - 11 )}

- \frac{22}{( x - 11 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x + 11}{x - 11})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( x + 11 ) ( x - 11 ) - \frac{d}{d x} ( x - 11 ) ( x + 11 )}{( x - 11 ) ^{2}}

\frac{d}{d x} (x + 11) = 1

\frac{d}{d x} (x - 11) = 1

= \frac{1 \cdot ( x - 11 ) - 1 \cdot ( x + 11 )}{( x - 11 ) ^{2}}

Vereinfache

\frac{1 \cdot ( x - 11 ) - 1 \cdot ( x + 11 )}{( x - 11 ) ^{2}} : - \frac{22}{( x - 11 ) ^{2}}

= - \frac{22}{( x - 11 ) ^{2}}

2 x^{2} y + x^{3} \frac{d y}{d x} = 1

x \to 7 lim (e^{x - 7})

in v erse l a pl a ce \frac{s}{s ^{2} - 14 s + 1}

l a pl a ce t r an s f or m t \cdot e^{2 t}

\frac{d y}{d t} + \frac{1}{2} y = \frac{1}{2} e^{\frac{t}{3}}