derivative f(x)= x/(x+17)

Lösung

ableitung von

f (x) = \frac{x}{x + 17}

\frac{17}{( x + 17 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{x + 17})

Wende die Quotientenregel an:

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

= \frac{\frac{d x}{d x} ( x + 17 ) - \frac{d}{d x} ( x + 17 ) x}{( x + 17 ) ^{2}}

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

\frac{d}{d x} (x + 17) = 1

= \frac{1 \cdot ( x + 17 ) - 1 \cdot x}{( x + 17 ) ^{2}}

1 \cdot (x + 17) - 1 \cdot x = 17

= \frac{17}{( x + 17 ) ^{2}}

\int 3 x - 2 x d x

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

x \to 0 lim (sin (1))

\int 1 + (x - 1)^{\frac{1}{2}} d x

s l o p e (- 1, 6), (2, - 3)