Yes you can, then use the product rule on the second term: . Or you can use the product rule directly with . You get the same result.
Out of interest are you trying to find the second derivative or is F'(x) a typo?
I have a whole gaggle of things I have to do with this problem, and I've been putting it off. But i want to get it done to go to a baseball game(fella watch) tomorrow. Sigh. Responsibility. Would Substitution be easier or should I just buck up and do it?