Q81.If Rolle's theorem holds for the function f(x) = 2x3 + bx2 + cx, x ∈[−1, 1] at the point x = 12 , then 2b + c is equal to (1) 2 (2) 1 (3) −1 (4) −3
What This Question Tests
This question is a direct application of Rolle's Theorem. It requires applying the conditions that f(a) = f(b) and f'(c) = 0 at the given point 'c' to solve for the unknown coefficients and then calculate the required expression.
Concepts Tested
Formulas Used
f(a) = f(b)
f'(c) = 0
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Rolle's Theorem
- Year
- 2015
- Shift
- 10 Apr Online
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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