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Beliebt Rechnen >

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

Lösung

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

Lösung

y - 2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (7) = 0

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

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

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

= 0 - 2 x + y - 0

Vereinfache

= y - 2 x

Beliebte Beispiele

derivative of 6x^{-2}

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derivative f(x)=5x^4-6x^2+1

d er i v a t i v e f (x) = 5 x^{4} - 6 x^{2} + 1

(\partial)/(\partial x)(2xy-3)

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

(\partial)/(\partial x)(4/((x+2)^2))

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