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Mathematics 12 Online
OpenStudy (anonymous):

If a and b are positive numbers, find the maximum value of f(x) = x^a (1-x)^b , where 0<= x <= 1

myininaya (myininaya):

You need to critical numbers.

myininaya (myininaya):

do you know how to find the critical numbers?

OpenStudy (anonymous):

|dw:1397649722280:dw| Anyways, you can check f''(x) at x=a/(a+b). It'll turn out to be negative.

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