Let f(x)=x4−4x3+4x2+1.
a. (i) Solve f′(x)=0 and list all stationary points.
b. (ii) Using the second derivative, decide whether each stationary point is a local maximum or a local minimum.
c. (iii) Arrange the stationary points in ascending order of their corresponding function values, clearly marking each as a maximum or a minimum.