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

Lösung

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

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

d er i v a t i v e x (cos (x^{2}))

d er i v a t i v e \frac{( x ^{2} - 4 )}{( x ^{2} - 1 )}

\int \frac{9 x ^{2} - 8 x + 8}{x ( x ^{2} + 4 )} d x

n = 0 \sum \infty \frac{n}{n + 2}

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