Class 12 Continuity And Differentiability · Mcq Single Correct1 Marksdifferentiability
Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #9
Which describes f(x)=|x|?
✅ Step-by-Step Solution
Final Answer: Option (C): Continuous everywhere; differentiable except at 0
- Absolute value is continuous on R. At 0 its left and right derivatives are −1 and 1; at every nonzero input it is linear locally.
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