Suppose . The value of is equal to:
- A
- B
- C
- D
MCQMediumJEE Main 2024 · 29 January, Shift 1Derivatives of Functions
Mathematics Question from JEE Main 2024 · 29 January, Shift 1
Answer & step-by-step solution
Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.
Practice more Derivatives of Functions questions
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.
Related questions
- Let f(x) = x³ + x² f'(1) + 2x f''(2) + f'''(3), x ∈ ℝ. Then the value of f'(5) is:Medium · JEE 2026
- Let f: ℝ → ℝ be a twice differentiable function such that (sin x cos y)(f(2x + 2y) - f(2x - 2y)) = (cos x sin…Medium · JEE 2025
- Let f be a differentiable function on ℝ such that f(2) = 1 and f'(2) = 4. Let lim_(x → 0) ( f(2+x))^(3/x) =…Hard · JEE 2025
- Given f(x) = x³ + x² f'(1) + x f''(2) + f'''(3), x ∈ ℝ. Then f'(10) is equal to:Medium · JEE 2024
- Let g(x) = 3f(x/3) + f(3 - x) where f''(x) > 0 for all x ∈ (0,3). If g is decreasing in (0, α) and increasing…Medium · JEE 2024
- Let f(x) = 2^x - x², x ∈ R. If m and n are respectively the number of points at which the curves y = f(x) and…Easy · JEE 2024