Explain why Rolle’s theorem is not applicable to the following functions f(x): (a) x2 - 4x/x-2 on (0,4), (b) 1 - (x - 1)2/3 on (0,2], (c) tan x on (0,π/4], (d) sec x on (0,2π), (e) |x| on [-1,1].
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