簡約 te^{-2t}sinh(3t)cosh(2t)

解

簡約

t e^{- 2 t} sinh (3 t) cosh (2 t)

\frac{t sinh ( 3 t ) cosh ( 2 t )}{e ^{2 t}}

解答ステップ

t e^{- 2 t} sinh (3 t) cosh (2 t)

指数の規則を適用する:

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

= \frac{1}{e ^{2 t}} t sinh (3 t) cosh (2 t)

分数を乗じる:

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

= \frac{1 \cdot t sinh ( 3 t ) cosh ( 2 t )}{e ^{2 t}}

乗算:

1 \cdot t = t

= \frac{t sinh ( 3 t ) cosh ( 2 t )}{e ^{2 t}}