Q81.If the function f(x) = { a + cos−1(x−x, + b), 1 ≤xx < 1≤2 (1) π+2 (2) π−2 2 2 (3) −π−2 (4) −1 −cos−1 (2) 2
What This Question Tests
This question tests the conditions for differentiability of a piecewise function at a point. It requires ensuring continuity and equality of left-hand and right-hand derivatives. The question text is poorly formatted, requiring an educated guess on the actual function definition based on common JEE problem types.
Concepts Tested
Formulas Used
d/dx(cos⁻¹(x)) = -1/√(1-x²)
Continuity condition: LHL = RHL = f(a)
Differentiability condition: LHD = RHD
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Differentiability of piecewise functions
- Year
- 2016
- Shift
- 09 Apr Online
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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