derivative (x-5)/(x-2)

Lösung

ableitung von

\frac{x - 5}{x - 2}

\frac{3}{( x - 2 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x - 5}{x - 2})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( x - 5 ) ( x - 2 ) - \frac{d}{d x} ( x - 2 ) ( x - 5 )}{( x - 2 ) ^{2}}

\frac{d}{d x} (x - 5) = 1

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

= \frac{1 \cdot ( x - 2 ) - 1 \cdot ( x - 5 )}{( x - 2 ) ^{2}}

Vereinfache

\frac{1 \cdot ( x - 2 ) - 1 \cdot ( x - 5 )}{( x - 2 ) ^{2}} : \frac{3}{( x - 2 ) ^{2}}

= \frac{3}{( x - 2 ) ^{2}}

\int_{1}^{\infty} x^{- \frac{5}{2}} d x

\frac{\partial}{\partial x} ((2 x - 2)^{4} (x^{2} + x + 1)^{5})

\int \frac{x}{9 - x ^{2}} d x

l a pl a ce t r an s f or m 4 e^{- 7 t} \cdot cos (9 t)

d er i v a t i v e f (x) = sin (x) - \frac{1}{3} sin (3 x) + \frac{1}{5} sin (5 x)