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Beliebt Rechnen >

(\partial)/(\partial y)(3x^2+3y^2-15)

Lösung

\frac{\partial}{\partial y} (3 x^{2} + 3 y^{2} - 15)

Lösung

6 y

Schritte zur Lösung

\frac{\partial}{\partial y} (3 x^{2} + 3 y^{2} - 15)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (3 x^{2}) + \frac{\partial}{\partial y} (3 y^{2}) - \frac{\partial}{\partial y} (15)

\frac{\partial}{\partial y} (3 x^{2}) = 0

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

\frac{\partial}{\partial y} (15) = 0

= 0 + 6 y - 0

Vereinfache

= 6 y

Beliebte Beispiele

derivative y=sqrt(1-x)

limit as x approaches-2 of (x+2)/(x+2)

e^xydy-(e^{-y}+e^{-2x-y})dx=0

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(\partial)/(\partial x)(x^{-1})