(\partial)/(\partial x)(4-2*(3x-y)^2)

解

\frac{\partial}{\partial x} (4 - 2 \cdot (3 x - y)^{2})

- 12 (3 x - y)

解答ステップ

\frac{\partial}{\partial x} (4 - 2 (3 x - y)^{2})

y

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 x} (4) - \frac{\partial}{\partial x} (2 (3 x - y)^{2})

\frac{\partial}{\partial x} (4) = 0

\frac{\partial}{\partial x} (2 (3 x - y)^{2}) = 12 (3 x - y)

= 0 - 12 (3 x - y)

簡素化

= - 12 (3 x - y)