Find maximum of exponential equation created with CFTOOL?

Hello!

I need to find the maximum point of my data that i've extrapolated fitting it to an exponential-equation created by CFTOOL. Where y goes to infinity (I could also flip the data if it makes it easier). How can I do this the easiest way?

My graph: http://i53.tinypic.com/rumsr7.png

Answer 1

[Paulo Silva]

y(end) %this should give you the maximum value of y
max(y) %another way

[Per]

Thanks. But this only gives me values I already know and does not forecast the stable temperature (sorry for not specifying this earlier)

Answer 2

[John D'Errico]

Are you looking for that value of x where your model would predict an infinite value? Sorry, but IF this is an exponential model, it NEVER reaches infinity.

The fact is, extrapolation of data to an asymptote at infinity is a perilous task. The specific model you choose will be the driver here, and you have not bothered to tell us that information.

Had you chosen a model that makes mechanistic, physical sense in the context of the physical system you are trying to model, this would be a bit different. But we have no indication this is true.

[Per]

Thank you John. I needed that reminder. My knowledge in math is really not that great.

The data I have is temperature (x) vs. time (y), since temperature decay is (approx.) an exponential function, i just assumed i could try to use an exponential regression line to fit my data to, to "forecast" the stabilized temperature.

The measured temperature is thus stable, and the thermometer is adjusting to this new temperature. I want to find the actual temperature.