Question

Tolong gaess dibantu ya
turunan pertama dari y=(2x+1)^5 (x+1)
mohon bantuannya ya gaes buat belajar... trims:)

Answer 1

Penjelasan dengan langkah-langkah:

y = u.v

y' = u'v + v'u

y = (2x + 1)⁵ (x + 1)

misal

u = (2x + 1)⁵

u' = 2.5(2x + 1)⁴

u' = 10(2x + 1)⁴

v = (x + 1)

v' = 1

y' = u'v + v'u

y' = 10(2x + 1)⁴ (x + 1) + 1(2x + 1)⁵

y' = (2x + 1)⁴ [10(x + 1) + (2x + 1)

y' = (2x + 1)⁴(10x + 10 + 2x + 1)

y' = (2x + 1)⁴(12x + 11)

y' = (12x + 11)(2x + 1)⁴