Question

Find the stationary points on the curve,
y= (3x - 1)(x - 2)^4

Answer 1

Set its derivative equal to zero.

Answer 2

y' = 4(3x - 1)(x - 2) + 3(x - 2)^4
Set that equal to 0, you get
(x - 2){4(3x-1) + 3(x-2)^3} = 0

Now solve that equal to zero by setting each factor to 0.