(\partial)/(\partial x)(ln^2(x))

解

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

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

解答ステップ

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

連鎖法則を適用:

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

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

\frac{\partial}{\partial x} (ln (x)) = \frac{1}{x}

= 2 ln (x) \frac{1}{x}

簡素化

2 ln (x) \frac{1}{x} : \frac{2 ln ( x )}{x}

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