How do i simplify this?:
Keep in mind that differentiation and algebraic simplification are two very different things!
Differentiating will bring out an entirely new function that is not at all equivalent to the original.
If you differentiate, you lose that equivalency to the original function; so nothing to do with differentiation can be considered an algebraic simplification. Sure you *might* be able to simplify the derivative, but it would not be a simplification of .