# Answer to Question #17674 in Calculus for hsd

Question #17674

If a and b are positive numbers, find the maximum value of

f(x)=x^(a)(1−x)^(b), 0≤x≤1

Your answer may depend on a and b.

maximum value =

f(x)=x^(a)(1−x)^(b), 0≤x≤1

Your answer may depend on a and b.

maximum value =

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