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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2-2xy+y^2-8y)

Lösung

\frac{\partial}{\partial x} (3 x^{2} - 2 x y + y^{2} - 8 y)

Lösung

6 x - 2 y

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{2} - 2 x y + y^{2} - 8 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (2 x y) + \frac{\partial}{\partial x} (y^{2}) - \frac{\partial}{\partial x} (8 y)

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

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

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

\frac{\partial}{\partial x} (8 y) = 0

= 6 x - 2 y + 0 - 0

Vereinfache

= 6 x - 2 y

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laplacetransform t+1

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derivative f(x)=(3-2x)/(3+2x)

d er i v a t i v e f (x) = \frac{3 - 2 x}{3 + 2 x}

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