MCQMediumJEE Main 2023 · 24 January, Shift 2Derivatives of Functions

Mathematics Question from JEE Main 2023 · 24 January, Shift 2

If f(x)=x3x2f(1)+xf(2)f(3)f(x) = x^3 - x^2 f'(1) + x f''(2) - f'''(3), xRx \in \mathbb{R}, then:

  • A

    3f(1)+f(2)=f(3)3f(1) + f(2) = f(3)

  • B

    f(3)f(2)=f(1)f(3) - f(2) = f(1)

  • C

    2f(0)f(1)+f(3)=f(2)2f(0) - f(1) + f(3) = f(2)

  • D

    f(1)+f(2)+f(3)=f(0)f(1) + f(2) + f(3) = f(0)

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