I labeled this topic as a "Simple Differentiation Problem" because I know that it is simple, I'm just having problems with it.(adsbygoogle = window.adsbygoogle || []).push({});

The question is to differentiate ((x^2 + 2)^3)(x - 3)

The answer the book I'm using gives is ((x^2 + 2)^2)(7x^2 - 18x + 2)

Would this be differentiated by using a combination of product rule and chain rule? If that is the case then...

y' = ((x^2 + 2)^3) + (x - 3)(3(x^2 + 2)^2)(2x)

simplified a little

y' = ((x^2 + 2)^3) + 6x(x - 3)((x^2 + 2)^2) or

y' = ((x^2 + 2)^3) + (6x^2 - 18x)((x^2 + 2)^2)

this is where I am getting stuck. Either I am seriously lacking in my algebra skills, or I just used the wrong method to solve the problem.

Please help

Thank you

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# Homework Help: Simple Differentiation Problem

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