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Beliebt Rechnen >

(\partial)/(\partial x)(2y^2-2xy+7x-5)

Lösung

\frac{\partial}{\partial x} (2 y^{2} - 2 x y + 7 x - 5)

Lösung

- 2 y + 7

Schritte zur Lösung

\frac{\partial}{\partial x} (2 y^{2} - 2 x y + 7 x - 5)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 y^{2}) - \frac{\partial}{\partial x} (2 x y) + \frac{\partial}{\partial x} (7 x) - \frac{\partial}{\partial x} (5)

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

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

\frac{\partial}{\partial x} (7 x) = 7

\frac{\partial}{\partial x} (5) = 0

= 0 - 2 y + 7 - 0

Vereinfache

= - 2 y + 7

Beliebte Beispiele

integral of (x*sec^2(x))

integral of x^7+7x+7/x+7

integral of e^{x^3+5}x^2

integral of (x-6)sqrt(x+7)

derivative of x^2-4x+7