Question

Please help: Find derivative of the function f(x) = x+1/x

Answer 1

I have worked through the problem three times now and i keep hitting a road block towards the end

Answer 2

Rewrite 1/x in exponent form. that should help a little bit.
\[1/x = x^{-1}\]

Then just remember the power rule.
IMPORTANT! When you decrease the power of a negative number, it actually gets LARGER in the negative direction (if that makes sense).

Answer 3

i am supposed to work through the problem using limit definition...the longer method

Answer 4

oh i see XD

Answer 5

Thanks @RaphaelFilgueiras but i am supposed to work through the problem using limit definition...the longer method

Answer 6

ok up to this point?