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f(x) = x^3 + x^2 f'(1) + x f''(2) + 6: find f(2)

The same question, asked 2 times: 13 May 2024 S2, 14 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    13 May 2024 S2

    132
    Let f:R→Rf:R\to R be a function such that f(x)=x3+x2f′(1)+xf′′(2)+6, x∈Rf(x)=x^3+x^2f'(1)+xf''(2)+6,\ x\in R, then f(2)f(2) equals

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  2. Question 2

    14 May 2024 S1

    137
    Let f:R→Rf:R\rightarrow R be a function such that f(x)=x3+x2f′(1)+xf′′(2)+6f(x)=x^3+x^2f'(1)+xf''(2)+6, x∈Rx\in R, then f(2)f(2) equals

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