Q81.Let, f : R →R be a function such that f(x) = x3 + x2f′(1) + xf′′(2) + f′′′(3), ∀x ∈R. Then f(2) equals (1) 30 (2) 8 (3) −4 (4) −2
What This Question Tests
This question tests the ability to find first, second, and third derivatives of a polynomial function and use the given functional equation to determine unknown constant coefficients before evaluating the function at a specific point.
Concepts Tested
Formulas Used
d/dx (x^n) = nx^(n-1)
Evaluation of derivatives at specific points
📚 NCERT Sections This Tests
3.9 — A Reaction Is First Order In A And Second Order In B.
Chemistry Class 11 · Chapter 3
3.9 A reaction is first order in A and second order in B. (i) Write the differential rate equation. (ii) How is the rate affected on increasing the concentration of B three times? (iii) How is the rate affected when the concentrations of both A and B are doubled? 85 Chemical Kinetics Reprint 2025-26
3.23 — The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1
Chemistry Class 11 · Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
5.15 — Discuss The Nature Of Bonding In The Following Coordination Entities On The
Chemistry Class 11 · Chapter 5
5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4– (ii) [FeF6] 3– (iii) [Co(C2O4)3]3– (iv) [CoF6] 3–
📋 Question Details
- Chapter
- Differentiation
- Topic
- Higher Order Derivatives
- Year
- 2019
- Shift
- 10 Jan Shift 1
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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