簡約 x^{-2}(ncos(ln(x))+msin(ln(x)))

解

簡約

x^{- 2} (n \cdot cos (ln (x)) + m \cdot sin (ln (x)))

\frac{n cos ( ln ( x ) ) + m sin ( ln ( x ) )}{x ^{2}}

解答ステップ

x^{- 2} (n cos (ln (x)) + m sin (ln (x)))

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{2}} (n cos (ln (x)) + m sin (ln (x)))

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( n cos ( ln ( x ) ) + m sin ( ln ( x ) ) )}{x ^{2}}

1 \cdot (n cos (ln (x)) + m sin (ln (x))) = n cos (ln (x)) + m sin (ln (x))

= \frac{n cos ( ln ( x ) ) + m sin ( ln ( x ) )}{x ^{2}}