How to find minima and maxima of $y=(x-1)^2(x-2)^3$?

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$$y=(x-1)^2(x-2)^3$$

I got confused due to post derivative simplification, tried to take it 4 times :/

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We get: $y'(x)=2(x-1)(x-2)^3+3(x-2)^2(x-1)^2$.

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