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

Lösung

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

- \frac{1}{y}

Schritte zur Lösung

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

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{x}{y})

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

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

= 0 - \frac{1}{y}

Vereinfache

= - \frac{1}{y}

\int_{1}^{2} x e^{2 x^{2} - 3} d x

\int_{0}^{π} 10 t sin (3 t) d t

x \to \infty lim (\frac{x \cdot ( x + 1 ) ^{x + 1}}{( x + 1 ) ^{x + 2}})

\int (sin (x))^{2} (cos (x))^{2} d x

s l o p e in t erce pt (2005, 54), (2010, 58)