Let \( f(x) \) be a polynomial function satisfying the relation \( ...

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Let \( f(x) \) be a polynomial function satisfying the relation \( f(x) \cdot f\left(\frac{1}{x}\right)=f(x)+f\left(\frac{1}{x}\right) \forall x \in R-\{0\} \) and
\( \mathrm{P} \) \( f(3)=-26 \). Determine \( f^{\prime}(1) \)

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