I need help differentiating this:
y = [ 7+xf(x) ] / sqrt(x)
Thanks!
How did you begin? where are you stuck? you know what the quotient and product rules say, right?
$\displaystyle \dsiplaystyle y' = \frac {\sqrt x \cdot \frac d{dx}(7 + xf(x)) - (7 + xf(x)) \cdot \frac d{dx} \sqrt x}{(\sqrt x)^2}$
That's plugging it into the quotient rule. now what?
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) ?