MHB Nth derivative of algebraic function

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The discussion focuses on finding the nth derivative of a specific algebraic function. Participants suggest using specific values of x, such as 1, -3/2, and 0, to establish relationships among the coefficients A, B, and C. This approach aims to create a system of equations to solve for the unknowns. The method is considered straightforward and not overly complicated. Overall, the conversation emphasizes a practical strategy for deriving the nth derivative.
anil86
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Find nth derivative of following algebraic function:

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Nice approach! I would try plugging in specific values of $x$. The $A,B,C$ relation you have found must hold for all $x$, so it should hold for, say, $x=1$ and $x=-3/2$. Then I would just pick another nice value for $x$, say, $x=0$. You get three equations in three unknowns, technically, but I don't think it'll end up being that complicated.
 

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