I can say with certainty that you didn't. for one, the numerator and denominator should be encapsulated in parentheses when typing like that. if you look at what you typed, this was not the case; the "f(x)+xf'(x)" should have been in parentheses also... anyway
yes, this is correctIs it (xf(x)+2x^2f'(x)-7) / 2x^(3/2) ?