Example 19-28. The values of f(x) are given at a, b and c. Show that (under certain onditions to be mentioned) the maximum or minimum of f(x) is attained at f(a)(b² – c²) + f(b)(c² – a²) + f(c)(a² – b²) 2{fla)(b – c) + f(b)(c – a) + f(c)(a – b)}

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Example 19-28. The values of f(x) are given at a, b and c. Show that (under certain
conditions to be mentioned) the maximum or minimum of f(x) is attained at
f(@)(b² – c²) + f(b)(c² – a²) + f(c)(a² – b²)
2{f{a)(b – c) + f(b)(c – a) + f(c)(a – b)}
Transcribed Image Text:Example 19-28. The values of f(x) are given at a, b and c. Show that (under certain conditions to be mentioned) the maximum or minimum of f(x) is attained at f(@)(b² – c²) + f(b)(c² – a²) + f(c)(a² – b²) 2{f{a)(b – c) + f(b)(c – a) + f(c)(a – b)}
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