(\partial)/(\partial x)(1/b*(a-p(b,x)))

解

\frac{\partial}{\partial x} (\frac{1}{b} \cdot (a - p (b, x)))

\frac{1}{b} (0 - p (b, 1))

解答ステップ

\frac{\partial}{\partial x} (\frac{1}{b} (a - p (b, x)))

a, p, b

を定数として扱う

定数を除去:

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

= \frac{1}{b} \frac{\partial}{\partial x} (a - p (b, x))

和/差の法則を適用:

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

= \frac{1}{b} (\frac{\partial}{\partial x} (a) - \frac{\partial}{\partial x} (p (b, x)))

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

\frac{\partial}{\partial x} (p (b, x)) = p (b, 1)

= \frac{1}{b} (0 - p (b, 1))