Q8. Let f(x) = ∫x20 t2−8t+15et dt, respectively, are : (1) 2 and 3 (2) 2 and 2 (3) 3 and 2 (4) 1 and 3
What This Question Tests
This question uses Leibniz's rule to find the derivative of an integral function and then applies the first derivative test to determine the number of local maximum and minimum points.
Concepts Tested
Formulas Used
d/dx ∫(g(x) to h(x)) f(t) dt = f(h(x))h'(x) - f(g(x))g'(x)
f'(x) = 0 for critical points
Sign change of f'(x)
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Local maxima and minima using Leibniz's rule
- Year
- 2025
- Shift
- 22 Jan Shift 2
- Q Number
- Q8
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Application of Derivatives
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