The function f (x) = maximum x(2-x) , 2-x is non-differentiable at x equal to :

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The function f (x) = maximum \(\{\sqrt{x(2-x)}, 2-x\}\)is
non-differentiable at x equal to :
  1. 1
  2. 0, 2
  3. 0,1
  4. 1, 2

Answer

(D) 1, 2

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