Q73.If f(x) = {x30 sin, x (= 0 (1) f ′′ ( π2 ) = 24−π22π (2) f ′′ ( π2 ) = 12−π22π (3) f ′′(0) = 1 (4) f ′′(0) = 0
What This Question Tests
This question assesses the ability to calculate the first and second derivatives of a piecewise function, especially at the point where the definition changes, using the definition of derivative and rules of differentiation.
Concepts Tested
Formulas Used
(uv)' = u'v + uv'
(f(g(x)))' = f'(g(x))g'(x)
lim f'(x) / g'(x)
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📋 Question Details
- Chapter
- Differentiation
- Topic
- Second derivative of piecewise function
- Year
- 2024
- Shift
- 06 Apr Shift 1
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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