I struggle a bit with indices, and am trying to differentiate this - I won't post the whole question, just the little bit I am stuck with. I will actually use a different fraction as well, as I need to know how to do it myself! It is just the theory I am struggling with.

x^9/2

I differentiate this to 9/2x^7/2

Is that correct?

I feel I need to do some shuffling around of the result, to tidy it up a bit and make it easier to work with, but am getting mixed up with square roots and fractions etc.

Advice much appreciated!

Thanks.