(\partial)/(\partial x)(({f}(x,y))(4y^3+2y))

解

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

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

解答ステップ

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

y

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

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