Q62.Let f : R →R be a function defined by f(x) = max {x, x2}.Let S denote the set of all points in R,where f is not differentiable.Then : (1) {0, 1} (2) {0} (3) ϕ (an empty set) (4) {1} π ,
What This Question Tests
This question tests the understanding of differentiability for a function defined as the maximum of two other functions, specifically at points where the two functions intersect or change dominance.
Concepts Tested
Formulas Used
f'(x) at intersection points
📚 NCERT Sections This Tests
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
9.18 — For Fixed Distance S Between Object And Screen, The Lens Equation
Physics Class 12 · Chapter 9
9.18 For fixed distance s between object and screen, the lens equation does not give a real solution for u or v if f is greater than s/4. Therefore, fmax = 0.75 m.
12.1 — (A) No Different From
Physics Class 12 · Chapter 12
12.1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Differentiability
- Year
- 2020
- Shift
- 06 Sep Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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