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Beliebt Rechnen >

(\partial)/(\partial x)(x^2-3xy+y^2)

Lösung

\frac{\partial}{\partial x} (x^{2} - 3 x y + y^{2})

Lösung

2 x - 3 y

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} - 3 x y + y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (3 x y) + \frac{\partial}{\partial x} (y^{2})

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

= 2 x - 3 y + 0

Vereinfache

= 2 x - 3 y

Beliebte Beispiele

integral of 3sin(ln(x))

\int 3 sin (ln (x)) d x

integral from 0 to x of e^t

\int_{0}^{x} e^{t} d t

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\int_{- 1}^{0} x^{2} - 1 d x

limit as x approaches-9+of 1/(x+9)

x \to - 9 + lim (\frac{1}{x + 9})