SOLUTION: What is the derivative of g(x) = (1+4x)^5 (3 + x - x^2)^8

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Question 1140606: What is the derivative of g(x) = (1+4x)^5 (3 + x - x^2)^8
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


DO NOT expand the whole expression before taking the derivative!!!

Although it gets a bit complicated, it is a straightforward application of the product and power rules.

You won't learn anything by having us show you the answer. Try it yourself and then re-post the problem, SHOWING the work you have done, if you need help with it.

Note there are many possible forms of the answer. If you use the product and power rules, the derivative will have two terms with a common factor of
%28%281%2B4x%29%5E4%29%2A%28%283%2Bx-x%5E2%29%5E7%29

You might be required to express the derivative using this common factor.