簡約 sin(2ln(x))x^{-2}sin(ln(x))

解

簡約

sin (2 ln (x)) x^{- 2} sin (ln (x))

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

解答ステップ

sin (2 ln (x)) x^{- 2} sin (ln (x))

指数の規則を適用する:

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

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

分数を乗じる:

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

= \frac{1 \cdot sin ( 2 ln ( x ) ) sin ( ln ( x ) )}{x ^{2}}

乗算:

1 \cdot sin (2 ln (x)) = sin (2 ln (x))

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