Science:Math Exam Resources/Courses/MATH104/December 2012/Question 02 (e)/Statement

Consider the function

$f(x)={\frac {2x^{3}}{3x^{2}-9}}$

Its first and second derivatives are given by

$f'(x)={\frac {2x^{2}(x^{2}-9)}{3(x^{2}-3)^{2}}},\qquad {}f''(x)={\frac {4x(x^{2}+9)}{(x^{2}-3)^{3}}}$

Indicate which curve below best represents the graph of y=f(x).