1. The value of f(x) are given at a, b and c. Show that under certain conditions to be mentioned, the maximum or minimum is attained at x = Sigma(b ^ 2 - c ^ 2) * f * (a) / [2Sigma * (b - c) * f * (a)] . [Hint. Find f(x) by Lagrange's formula and then put f(x) = 0 to obtain x.
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