I am trying to help an A level pupil.

The question is:-

Find the stationary point on the curve y = e^x / sq. root x ; and say whether it is a min or max.

I have tried this both ways and keep getting the answer 2/3 and min. value. It seems I'm missing something at the point where you take logs, but I can't see it.

I know that graphically the answer is 1/2 and min. value.

Can anyone show me the corect algebraic procedure and get the answer 1/2.

Thanks.