(\partial)/(\partial y)(x/z+y/z)

Lösung

\frac{\partial}{\partial y} (\frac{x}{z} + \frac{y}{z})

\frac{1}{z}

Schritte zur Lösung

\frac{\partial}{\partial y} (\frac{x}{z} + \frac{y}{z})

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (\frac{x}{z}) + \frac{\partial}{\partial y} (\frac{y}{z})

\frac{\partial}{\partial y} (\frac{x}{z}) = 0

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

= 0 + \frac{1}{z}

Vereinfache

= \frac{1}{z}

in v erse l a pl a ce \frac{s}{( s + 2 )}

y^{^{'}} = \frac{y}{x}, y (2) = 2

\int \frac{( - 3 x ^{3} + 5 x )}{5 x} d x

\frac{d}{d x} (e^{- ∣ x ∣})

x \to - 2 lim (\frac{x + 2}{2 x + 4})