Class 12 Continuity And Differentiability · Mcq Single Correct1 Marksdifferentiability
Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #105
Find the full differentiability set of f(x)=|2x−1|sin x.
✅ Step-by-Step Solution
Final Answer: Option (B): R∖{1/2}
- Away from 1/2 the absolute-value factor is linear locally. At 1/2 the one-sided derivatives are −2sin(1/2) and 2sin(1/2), which differ.
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