MCQMediumJEE Main 2025 · 7 April, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2025 · 7 April, Shift 2

Let f:RRf : \mathbb{R} \to \mathbb{R} be a polynomial function of degree four having extreme values at x=4x = 4 and x=5x = 5.

If limx0f(x)x2=5\lim_{x \to 0} \frac{f(x)}{x^2} = 5, then f(2)f(2) is equal to:

  • A

    1212

  • B

    1010

  • C

    88

  • D

    1414

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