(\partial)/(\partial y)(3x-4xy+9y)

Lösung

\frac{\partial}{\partial y} (3 x - 4 x y + 9 y)

- 4 x + 9

Schritte zur Lösung

\frac{\partial}{\partial y} (3 x - 4 x y + 9 y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (3 x) - \frac{\partial}{\partial y} (4 x y) + \frac{\partial}{\partial y} (9 y)

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

\frac{\partial}{\partial y} (4 x y) = 4 x

\frac{\partial}{\partial y} (9 y) = 9

= 0 - 4 x + 9

Vereinfache

= - 4 x + 9

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