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..
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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Don't integrate - balloontegrate!
http://www.ballooncalculus.org/forum/top.php
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