d/(dy)((x)(24x^2+2y-6))

解

\frac{d}{d y} ((x) (24 x^{2} + 2 y - 6))

2 x

解答ステップ

\frac{d}{d y} ((x) (24 x^{2} + 2 y - 6))

x

を定数として扱う

定数を除去:

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

= x \frac{d}{d y} (24 x^{2} + 2 y - 6)

和/差の法則を適用:

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

= x (\frac{d}{d y} (24 x^{2}) + \frac{d}{d y} (2 y) - \frac{d}{d y} (6))

\frac{d}{d y} (24 x^{2}) = 0

\frac{d}{d y} (2 y) = 2

\frac{d}{d y} (6) = 0

= x (0 + 2 - 0)

簡素化

= 2 x