Question 1009966
<pre>
{{{f(x)}}}{{{""=""}}}{{{(x^2+1/x^3 )(x^3-x^2+1)}}}

I'd write the {{{1/x^3}}} as {{{x^(-3)}}}:

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

then multiply the whole thing out and write everything as
a sum of powers of x

{{{f(x)}}}{{{""=""}}}{{{x^5-x^4+x^(-3)+x^2-x^(-1)+1}}}

Then it's easy to differentiate.  

Edwin</pre>