Question

If f(x) = 6x – x2, x ∈ [0, 2] and g ( x ) = { min f ( t ) , 0 t x , x [ 0 , 1 ] 3 + x , x [ 1 , 2 ] Then number of points where g(x) is not differentiable is

Options :

  1. 1

  2. 0

  3. 2

  4. 3

Show Answer

Answer :

1

Solution :

g ( x ) = { min f ( t ) , 0 t x , x [ 0 , 1 ] 3 + x , x [ 1 , 2 ]

Number of points of non-differentiability is 1.

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