(\partial)/(\partial x)(y/x-1)

Lösung

\frac{\partial}{\partial x} (\frac{y}{x} - 1)

- \frac{y}{x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{y}{x} - 1)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (\frac{y}{x}) - \frac{\partial}{\partial x} (1)

\frac{\partial}{\partial x} (\frac{y}{x}) = - \frac{y}{x ^{2}}

\frac{\partial}{\partial x} (1) = 0

= - \frac{y}{x ^{2}} - 0

Vereinfache

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

d er i v a t i v e f (x) = cos (\frac{x ^{2} - 25}{x - 5})

x \to 0 lim (\frac{2 x + x ^{2}}{x})

\int 4 x^{3} n xx d x

\frac{d y}{d x} = \frac{y ^{2} - x ^{2}}{2 x y}

in v erse l a pl a ce \frac{s ^{4} + 1}{s ^{3} - s}