簡約 x(-(2xcos(x))/(x^2+1)-sin(x))

解

簡約

x (- \frac{2 x cos ( x )}{x ^{2} + 1} - sin (x))

\frac{x ( - x ^{2} sin ( x ) - sin ( x ) - 2 x cos ( x ) )}{x ^{2} + 1}

解答ステップ

x (- \frac{2 x cos ( x )}{x ^{2} + 1} - sin (x))

結合

- \frac{2 x cos ( x )}{x ^{2} + 1} - sin (x) : \frac{- x ^{2} sin ( x ) - sin ( x ) - 2 x cos ( x )}{x ^{2} + 1}

= x \frac{- x ^{2} sin ( x ) - sin ( x ) - 2 x cos ( x )}{x ^{2} + 1}

分数の規則を適用する:

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

= \frac{x ( - x ^{2} sin ( x ) - sin ( x ) - 2 x cos ( x ) )}{x ^{2} + 1}