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Beliebt Rechnen >

(\partial)/(\partial x)(2xy+sin(x))

Lösung

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

Lösung

2 y + cos (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y + cos (x)

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