MCQMediumJEE Main 2026 · 21 January, Shift 2Derivatives of Functions

Mathematics Question from JEE Main 2026 · 21 January, Shift 2

Let f(x)=x3+x2f(1)+2xf(2)+f(3),xRf(x) = x^3 + x^2 f'(1) + 2x f''(2) + f'''(3), x \in \mathbb{R}. Then the value of f(5)f'(5) is :

  • A

    625\frac{62}{5}

  • B

    6575\frac{657}{5}

  • C

    25\frac{2}{5}

  • D

    1175\frac{117}{5}

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