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Beliebt Rechnen >

(\partial)/(\partial y)(x^2-4xy+3y^2)

Lösung

\frac{\partial}{\partial y} (x^{2} - 4 x y + 3 y^{2})

Lösung

6 y - 4 x

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} - 4 x y + 3 y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{2}) - \frac{\partial}{\partial y} (4 x y) + \frac{\partial}{\partial y} (3 y^{2})

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

\frac{\partial}{\partial y} (4 x y) = 4 x

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

= 0 - 4 x + 6 y

Vereinfache

= 6 y - 4 x

Beliebte Beispiele

derivative of (4x^x)

\frac{d}{d x} ((4 x)^{x})

integral of 10x^4-2sec^2(x)

\int 10 x^{4} - 2 sec^{2} (x) d x

tangent 4/(x^2)

t an g e n t \frac{4}{x ^{2}}

t an g e n t \frac{9}{x}

steigung x^2+xy-(y^2)/4 =1

s l o p e x^{2} + x y - \frac{y ^{2}}{4} = 1