(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have to find a, b, c, and d such that the function defined by :

f(x) =xa^{3}+xb^{2}+x+cd

will have a relative extrema at points (1,2) and (2,3).

3. The attempt at a solution

From the given critical points, I am able to know that when x=1 or x=2, f'(x)=3xa^{2}+2x+bshould be equal to zero.c

Therefore f'(x) should have factors like (x-1) and (x-2) or in simplified form x^{2}-3x+2. Now my problem is that how should I relate the two equations of f'(x) for me to be able to solve for the said unknowns?

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# Homework Help: Relative Extrema

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