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Differentiation question

2023 · 24 Jan · Shift 2 · Q35

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JEE Main
Mathematics
Differentiation
2023 · 24 Jan · Shift 2 · Q35

Differentiation question

2023 · 24 Jan · Shift 2 · Q35

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

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

, then

A
$2f(0) - f(1) + f(3) = f(2)$
B
$f(1) + f(2) + f(3) = f(0)$
C
$f(3) - f(2) = f(1)$
D
$3f(1) + f(2) = f(3)$

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