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## Homework Statement

find the derivative of (x

^{2}- 3)

^{4}/(2x

^{3}+1)

^{3}

and simplify

## Homework Equations

## The Attempt at a Solution

as far as i could get was 8x(x

^{2}-3)

^{3}-18x

^{2}(2x

^{3}+1)

^{2}/(2x

^{3}+1)

^{6}

which is not simplified.

How can you simplify something like this? Is there a systematic way to approach it?

In general, what is the best method to approach really messy derivatives (such as this one, or any other that can be manipulated by algebra)?

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