derivative problem-calc I-please help!

[mathmama]

I have to test out of Calculus I and I haven't taken calc in years. I am starting to re-learn derivatives... this is a problem from a previous exam... any help is much appreciated!
Find f'(x) where:
f(x)= x²-1/x²+1

 

[tkhunny]

Rewrite just a hair.

\(\displaystyle f(x) = x^{2} - x^{-2} + 1\)

Then your power rule (or exponent/polynomial rule) works just fine.

 

[mathmama]

Ill be sure to use grouping signals next time. Thank you for the help. So my set up should be?...

{[(x²+1)(2x)]-[(x²-1)(2x)]}/(x²+1)²