簡約 h(t-a)e^{-bt}cos^2(t-a)

解

簡約

h (t - a) e^{- b t} cos^{2} (t - a)

\frac{h cos ^{2} ( t - a ) ( t - a )}{e ^{b t}}

解答ステップ

h (t - a) e^{- b t} cos^{2} (t - a)

指数の規則を適用する:

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

= \frac{1}{e ^{b t}} h cos^{2} (t - a) (t - a)

分数を乗じる:

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

= \frac{1 \cdot h ( t - a ) cos ^{2} ( t - a )}{e ^{b t}}

乗算:

1 \cdot h = h

= \frac{h cos ^{2} ( t - a ) ( t - a )}{e ^{b t}}