(\partial)/(\partial y)(x^3-5xy)

Lösung

\frac{\partial}{\partial y} (x^{3} - 5 x y)

- 5 x

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{3} - 5 x y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{3}) - \frac{\partial}{\partial y} (5 x y)

\frac{\partial}{\partial y} (x^{3}) = 0

\frac{\partial}{\partial y} (5 x y) = 5 x

= 0 - 5 x

Vereinfache

= - 5 x

x \to 0 + lim (sin (x) ln (2 x))

\frac{d ^{3}}{d x ^{3}} (x^{4} - 4 x^{3})

x \to - 1 lim (\frac{1 - ∣ x ∣}{x + 1})

\frac{\partial}{\partial y} (cos (y) sin (x))

l a pl a ce t r an s f or m (- 3 t^{2}) (t - 2)