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Class 12 Continuity And Differentiability · Mcq Single Correct1 Marksdifferentiability

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #13

For f(x)=x² when x<1 and f(x)=2−x when x≥1, choose the correct description at 1.

✅ Step-by-Step Solution

Final Answer: Option (A): Not differentiable
  1. Both limits and f(1) are 1, but the left derivative is 2 and right derivative −1; continuity holds and differentiability fails.

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