derivative y=(3x-2)/x

Lösung

ableitung von

y = \frac{3 x - 2}{x}

\frac{2}{x ^{2}}

Schritte zur Lösung

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

Wende die Quotientenregel an:

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

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

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

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

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

Vereinfache

= \frac{2}{x ^{2}}

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

\frac{\partial}{\partial t} (4 sin (t))

a re a y = \frac{1}{2} x, y = \frac{1}{25} x^{2}, y = 1

x \to 5 lim (\frac{2 x}{x - 5})

x \to 9 lim (f (x))