(\partial)/(\partial x)(2(ln(x))+y)

解

\frac{\partial}{\partial x} (2 (ln (x)) + y)

\frac{2}{x}

解答ステップ

\frac{\partial}{\partial x} (2 (ln (x)) + y)

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} (2 ln (x)) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (2 ln (x)) = \frac{2}{x}

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

= \frac{2}{x} + 0

簡素化

= \frac{2}{x}