I did a derivative problem, but my book says that my answer is wrong.(adsbygoogle = window.adsbygoogle || []).push({});

f(x)=x^{2}(x-2)^{4}

I didn't see much use in the chain rule so I used the product rule.

x^{2}(4(x-2)^{3}) + (x-2)^{4}(2x)

=4x^{2}(x-2)^{3}+ 2x(x-2)^{4}

The book says that instead of this, the answer is ...

x^{2}(4(x-2)^{3}(1)) + (x-2)^{4}(2x) = 2x(x-2)^{3}(3x-2)

So I guess where I'm really confused is in the manner with which the book simplified.

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# Derivative Chain Rule Problem

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