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

解答

展开

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

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

求解步骤

(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))

使用分配律:

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)

数字相乘:

3 \cdot 2 = 6

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

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