Thread: How to prove this inequality

1. How to prove this inequality

How to prove
$yx^y(1-x)0.$

Thanks.

2. Re: How to prove this inequality

Hey xinglongdada.

Try finding when the first derivatives are 0 and see where the maximums and minimums are for 0 < x < 1 (with y being constant).

3. Re: How to prove this inequality

Year. I've found this with x fixed...Thanks then.