Q75.Let S be the set of points where the function , f(x) = |2 −|x −3|, x ∈R, is not differentiable. Then ∑x∈S f(f(x)) is equal to JEE Main 2020 (07 Jan Shift 1) JEE Main Previous Year Paper
What This Question Tests
This question tests the understanding of differentiability of functions involving absolute values. It requires identifying points where the argument of the modulus function becomes zero for a nested modulus function and then evaluating f(f(x)) at these specific points.
Concepts Tested
Formulas Used
|x| is not differentiable at x=0
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Differentiability of Functions
- Year
- 2020
- Shift
- 07 Jan Shift 1
- Q Number
- Q75
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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