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MathsJEE Main 21 Jan 2026, Shift 2·Q3·MCQ·Easy–moderate

Limits, Continuity & Differentiability · Derivatives of a polynomial

Let f(x)=x3+x2f′(1)+2xf′′(2)+f′′′(3)f(x) = x^3 + x^2 f'(1) + 2x f''(2) + f'''(3), x∈Rx \in \mathbb{R}. Then the value of f′(5)f'(5) is:
  1. (1)625\dfrac{62}{5}
  2. (2)6575\dfrac{657}{5}
  3. (3)25\dfrac{2}{5}
  4. (4)1175\dfrac{117}{5}

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See the full 21 Jan 2026, Shift 2 paper