(\partial)/(\partial y)(y+xy)

Lösung

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

1 + x

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 1 + x

x \to - 4 lim (\frac{x ^{2} + 3 x - 4}{x + 4})

t an g e n t - x^{2} + 1

\frac{d}{d x} (e^{x^{4} + 7 x})

\frac{\partial}{\partial x} (7 + x ln (x y - 9))

\frac{d}{d x} ((x^{3} + 5 x^{2} - x^{- 2} + 8)^{- \frac{7}{6}})