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f(x) = ax^3 + be^(x/2) and g = f^-1: find g' at a point

The same question, asked 2 times: 4 May 2023 S1*, 15 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S1

    127
    If f(x)=x3+ex/2f(x)=x^3+e^{x/2} and g(x)=f−1(x)g(x)=f^{-1}(x), then the value of g′(1)g'(1) is

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  2. Question 2

    15 Apr 2026 S1

    73
    Let f(x)=3x3+4ex2f(x) = 3x^3 + 4e^{\frac{x}{2}} and g(x)=f−1(x)g(x) = f^{-1}(x). Then the value of g′(4)g'(4) is equal to...

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