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Normal at (3, 4) makes an angle 3pi/4 with the x-axis: find f'(3)

The same question, asked 2 times: May 2022 S1, 11 May 2023 S2. Every wording below, oldest first.

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  1. Question 1

    May 2022 S1

    132
    If the normal to the curve y=f(x)y = f(x) at the point (3,4)(3,4) makes an angle 3π4\frac{3\pi}{4} with positive X-axis, then f′(3)f'(3) is equal to

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  2. Question 2

    11 May 2023 S2

    135
    If the normal to the curve y=f(x)y=f(x) at the point (3,4)(3,4) makes an angle of 3π4\frac{3\pi}{4} with the positive X-axis, then the value of f′(3)f'(3) is

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