Science:Math Exam Resources/Courses/MATH100/December 2010/Question 01 (d)/Hint 2

For this problem, the quotient rule is your friend. The statement is

${\frac {d}{dx}}{\bigg (}{\frac {f(x)}{g(x)}}{\bigg )}={\frac {f'(x)g(x)-g'(x)f(x)}{g(x)^{2}}}$

provided $f(x)$ and $g(x)$ are differentiable and $g(x)\neq 0$.