Maxima and MinimaHard

Question

If f (x) = 4x3 - x2 - 2x +1 and g(x) = then has the value equal to :

Options

A.7/4
B.9/4
C.13/4
D.5/2

Solution

     
     
f′(x) = 12x2 - 2x - 2
= 2(6x2 - x -1) = 2(2x -1)(3x +1)
Min  {f (t) : 0 ≤ t ≤ x};0 ≤ x ≤ 1 =

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