(\partial)/(\partial y)(xy^2+x)

Lösung

\frac{\partial}{\partial y} (x y^{2} + x)

2 x y

Schritte zur Lösung

\frac{\partial}{\partial y} (x y^{2} + x)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x y + 0

Vereinfache

= 2 x y

x \to 0 lim (x^{6} cos (\frac{9}{x}))

x \to - \infty lim (5 x^{3})

\frac{\partial}{\partial x} ((x^{0.5} + y^{0.5})^{2})

\int 7 u^{7} u^{8} + 7 d u

x \to 0 + lim (\frac{5}{x - x ^{2}})