titik titik stasioner fungsi F(x) = x(x-3)^2 adalah

f(x) = x(x - 3)^2
x = U , (x - 3)^2 = V

f'(x) U'V + UV'
= 1(x - 3)^2 + x [2(x - 3)]
= (x - 3)^2 + x(2x - 6)
= x^2 - 6x + 9 + 2x^2 - 6x
= 3x^2 - 12x + 9

stasioner, f'(x) = 0

3x^2 - 12x + 9 = 0
x^2 - 4x + 3 = 0
(x - 1)(x - 3) = 0
x = 1 ; x = 3

x = 1 , y = f(1) = 4 (1,4)
x = 3 , y = f(3) = 0 (3,0)