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n-th derivative of 1/(ax + b) or log x

This type of question, asked 3 times: 22 Apr 2025 S1, 17 Apr 2026 S2, 13 May 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    22 Apr 2025 S1

    138
    For N∈N,dndxn(log⁡x)=N \in\mathbb{N},\frac{d^{n}}{dx^{n}}(\log x) =

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  2. Question 2

    17 Apr 2026 S2

    70
    If y=13x+5y = \dfrac{1}{3x + 5}, then the value of d9ydx9\dfrac{d^9y}{dx^9} is..

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  3. Question 3

    13 May 2026 S2

    71
    Let y=13x−5y = \dfrac{1}{3x - 5} and if d4ydx4=1944\dfrac{d^4y}{dx^4} = 1944, then the value of xx is

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