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Beliebt Rechnen >

(\partial)/(\partial y)(5x^2+y^2)

Lösung

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

Lösung

2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (5 x^{2}) = 0

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

= 0 + 2 y

Vereinfache

= 2 y

Beliebte Beispiele

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a re a y = 0, y = 9 - x^{2}

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d er i v a t i v e y = - 4 lo g_{5} (x)

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\frac{d}{d x} (e^{3 x} + e^{x + e^{- 2 x}})

integral from 1 to e of t^2ln(t)

\int_{1}^{e} t^{2} ln (t) d t