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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=x3+2x2 f′(1)+xf′′(2)+f′′′(3).f(x) = x^3 + 2x^2\,f^\prime(1) + xf^{\prime\prime}(2) + f^{\prime\prime\prime}(3). The value of f′(10)f^\prime(10) is equal to _____.
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Correct option: A
218
Option A (218) is correct because it is the value of f′(10)f'(10) obtained after finding f′(1)f'(1), f′′(2)f''(2), and substituting them into the expression for f′(x)f'(x).

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