JEE PHYSICS MCQ: WORK-ENERGY-POWER

Potential energy function along $x$-axis in a certain force field is given as $U(x)=\frac{x^4}{4}-2 x^3+\frac{11}{2} x^2-6 x$. For the given force field,

(i) the points of equilibrium are $x=1, x=2$ and $x=3$

(ii) the points $x=2$ is a point of unstable equilibrium

(iii) the points $x=1$ and $x=3$ are points of stable equilibrium

(iv) there exists no point of neutral equilibrium Which one of the following is the set of correct options?