derivative f(x)= x/(x+8)

Lösung

ableitung von

f (x) = \frac{x}{x + 8}

\frac{8}{( x + 8 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{x + 8})

Wende die Quotientenregel an:

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

= \frac{\frac{d x}{d x} ( x + 8 ) - \frac{d}{d x} ( x + 8 ) x}{( x + 8 ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (x + 8) = 1

= \frac{1 \cdot ( x + 8 ) - 1 \cdot x}{( x + 8 ) ^{2}}

1 \cdot (x + 8) - 1 \cdot x = 8

= \frac{8}{( x + 8 ) ^{2}}

(15 x y^{2} - 4 y) + (15 x^{2} y - 4 x) y^{^{'}} = 0

n = 1 \sum \infty \frac{1}{2 ^{n} - 1}

\frac{d}{d t} (- \frac{1}{2 ( t + 1 ) \frac{3}{2}})

x \to - 2 + lim (\frac{3 x - 6}{x + 2})

\frac{d}{d x} (x^{3} sin (x) cos (x))