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Beliebt Rechnen >

(\partial)/(\partial y)(y^2-2ycos(x))

Lösung

\frac{\partial}{\partial y} (y^{2} - 2 y cos (x))

Lösung

2 y - 2 cos (x)

Schritte zur Lösung

\frac{\partial}{\partial y} (y^{2} - 2 y cos (x))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y - 2 cos (x)

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