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Class 12 Continuity And Differentiability · Mcq Single Correct1 Marksdifferentiability

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #10

For f(x)=x|x| at x=0, which description holds?

✅ Step-by-Step Solution

Final Answer: Option (A): Continuous and differentiable
  1. The value and two-sided limit are 0. The difference quotient f(h)/h=|h| tends to 0, so f′(0)=0.

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