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人気のある微分積分 >

(\partial)/(\partial y)(6xy^2+x^2)

解

\frac{\partial}{\partial y} (6 x y^{2} + x^{2})

解

12 x y

解答ステップ

\frac{\partial}{\partial y} (6 x y^{2} + x^{2})

x

を定数として扱う

和/差の法則を適用:

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

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

\frac{\partial}{\partial y} (6 x y^{2}) = 12 x y

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

= 12 x y + 0

簡素化

= 12 x y

人気の例

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