(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y=x^{2/3}(x^{2}-4)

2. Relevant equations

3. The attempt at a solution

1.y'=2/3x^{-1/3}(x^{2}-4)+x^{2/3}*2x

2.y'=2x^{2}-8+2x^{5/2}/3(x^{1/3})

the book agrees with my unsimplified (#1)derivative but it goes further to simplify the equation as

y'= 8x^{2}-8/3(x^{1/3})

I can't see how they got 2(x^{2}-4)+x^{2/3}*2x to be 8x^{2}-8

in the numerator.

Would someone explain this to me?

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# Homework Help: Easy derivative

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