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Math Help - a curve is defined by y=x^2(x-2)^2

  1. #1
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    a curve is defined by y=x^2(x-2)^2

    this is the questions: a curve is defined by y=x^2(x-2)^2.show that dy/dx=4x(x-1)(x-2)..

    someone please help..
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  2. #2
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    Probably easiest to do: product rule then factorise

    Edit:

    Just in case a picture helps...



    ... where



    ... the product rule. Straight continuous lines differentiate downwards (integrate up) with respect to x

    Note that you can almost forget the chain rule for (x-2)^2 because the inner derivative is 1.





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