展開する (ln(sin(x)+cos(x))2+sec(x)tan(g)x)3

解

展開する

(ln (sin (x) + cos (x)) 2 + sec (x) tan (g) x) 3

6 ln (sin (x) + cos (x)) + 3 x sec (x) tan (g)

解答ステップ

(ln (sin (x) + cos (x)) \cdot 2 + sec (x) tan (g) x) \cdot 3

= 3 (2 ln (sin (x) + cos (x)) + x sec (x) tan (g))

分配法則を適用する:

a (b + c) = ab + a c

a = 3, b = ln (sin (x) + cos (x)) \cdot 2, c = sec (x) tan (g) x

= 3 ln (sin (x) + cos (x)) \cdot 2 + 3 sec (x) tan (g) x

= 3 \cdot 2 ln (sin (x) + cos (x)) + 3 x sec (x) tan (g)

数を乗じる:

3 \cdot 2 = 6

= 6 ln (sin (x) + cos (x)) + 3 x sec (x) tan (g)