Let f(x)=x4−4x3+6x2+5 be defined on the closed interval [0,3]. Answer the following:
(i) Obtain the stationary points of f lying in the interval [0,3]."
(ii) Classify each stationary point found in (i)."
(iii) Evaluate f at the stationary points and at the end–points of the interval."
(iv) Hence determine the absolute maximum and absolute minimum values of f on [0,3], and state the range of f on this interval."