Q71.Let f(x) = 4 cos3 x + 3√3 cos2 x −10. The number of points of local maxima of f in interval (0, 2π) is (1) 3 (2) 4 (3) 1 (4) 2
What This Question Tests
This question analyzes the monotonicity of a function using its first derivative and then uses this information to determine the number of roots in a given interval.
Concepts Tested
Formulas Used
f'(x) < 0 implies decreasing
f'(x) > 0 implies increasing
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Monotonicity and roots of a function
- Year
- 2024
- Shift
- 08 Apr Shift 1
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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