MCQMediumJEE Main 2025 · 2 April, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2025 · 2 April, Shift 1

If the function f(x)=2x39ax2+12a2x+1f(x) = 2x^3 - 9ax^2 + 12a^2x + 1, where a>0a > 0, attains its local maximum and minimum at pp and qq, respectively, such that p2=qp^2 = q, then f(3)f(3) is equal to:

  • A

    5555

  • B

    1010

  • C

    2323

  • D

    3737

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 Applications of Derivatives (Monotonicity, Extrema) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions