Class 12 Continuity And Differentiability · Mcq Single Correct1 Marksdifferentiability
Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #11
Which describes f(x)=e^{|x|}?
✅ Step-by-Step Solution
Final Answer: Option (A): Continuous everywhere, not differentiable at 0
- Composition preserves continuity. On x<0 it is e^(−x), giving left derivative −1 at 0; on x>0 it is e^x, giving right derivative 1.
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