Let f(x) be a differentiable function such that f(0)=1, f(1)=2, f(2)=1 and f(4)=4. The graph of y=f′(x) is given below. If x∈[0,5], then the total number of local maximum points and local minimum points are
(a) 1
(b) 2
(c) 3
(d) 4