derivative x_{1}+x_{2}+x_{3}-12

解

導関数

x_{1} + x_{2} + x_{3} - 12

1

解答ステップ

\frac{d}{d x _{1}} (x_{1} + x_{2} + x_{3} - 12)

x_{2}, x_{3}

を定数として扱う

和/差の法則を適用:

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

= \frac{d}{d x _{1}} (x_{1}) + \frac{d}{d x _{1}} (x_{2}) + \frac{d}{d x _{1}} (x_{3}) - \frac{d}{d x _{1}} (12)

\frac{d}{d x _{1}} (x_{1}) = 1

\frac{d}{d x _{1}} (x_{2}) = 0

\frac{d}{d x _{1}} (x_{3}) = 0

\frac{d}{d x _{1}} (12) = 0

= 1 + 0 + 0 - 0

簡素化

= 1