展開する [arctan(x)]left(402x-1)

解

展開する

[arctan (x)] l e f t (402 x - 1)

402 e l x f t arctan (x) - e l f t arctan (x)

解答ステップ

[arctan (x)] l e f t (402 x - 1)

= e l f t [arctan (x)] (402 x - 1)

分配法則を適用する:

a (b - c) = ab - a c

a = [arctan (x)] l e f t, b = 402 x, c = 1

= [arctan (x)] l e f t \cdot 402 x - [arctan (x)] l e f t \cdot 1

= 402 e l x f t [arctan (x)] - 1 e l f t [arctan (x)]

簡素化

402 e l x f t [arctan (x)] - 1 e l f t [arctan (x)] : 402 e l x f t arctan (x) - e l f t arctan (x)

= 402 e l x f t arctan (x) - e l f t arctan (x)