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Find the local extremum values of the functions: f(x) = x√(1 - x), x ≤ 1

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Find the local extremum values of the functions: 

f(x) = x√(1 - x), x ≤ 1

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1 Answer

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Given as f(x) = x√(1 - x), x ≤ 1

f''(2/3) < 0

x = 2/3 is the point of maxima

Thus, local value = f(2/3) = 2/3√3

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