Turunan daru f(x)= (5x-2x^2) (3x-1)^3

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f(x) = (5x - 2x^2) (3x - 1)^3 = u . v
u = 5x - 2x^2 => u' = 5 - 4x
v = (3x - 1)^3 => v' = 3(3x - 1)^2 . 3 = 9(3x - 1)^2
f'(x) = u' v + v' u
= (5 - 4x) (3x - 1)^3 + 9(3x - 1)^2 (5x - 2x^2)
= (5 - 4x) (3x - 1)^3 + (45x - 18x^2) (3x - 1)^2

Lebih sederhana lagi (3x - 1)^2 kita keluarkan

= (3x - 1)^2 ((5 - 4x)(3x - 1) + 45x - 18x^2)
= (3x - 1)^2 (15x - 5 - 12x^2 + 4x + 45x - 18x^2)
= (3x - 1)^2 (-30x^2 + 64x - 5)

= (-30x^2 + 64x - 5) (3x - 1)^2