turunan pertama fungsi berikut

Y aksen (turunan) = (4x+3)^3 (x+5)^5
= 3(4x+3)^2 5(x+5)^4

dikoreksi lagi seandainya keliru

y = (4x + 3)^3 (x + 5)^5 = u . v
u = (4x + 3)^3 => u' = 3(4x + 3)^2 . 4 = 12 (4x + 3)^2
v = (x + 5)^5 => v' = 5(x + 5)^4 . 1 = 5(x + 5)^4

y' = u'v + v'u
= 12 (4x + 3)^2 (x + 5)^5 + 5(x + 5)^4 (4x + 3)^3

Bisa disederhanakan menjadi

= (4x + 3)^2 (x + 5)^4 (12(x + 5) + 5(4x + 3))
= (4x + 3)^2 (x + 5)^4 (12x + 60 + 20x + 15)
= (32x + 75) (4x + 3)^2 (x + 5)^4

^ = pangkat