gamma-function
gamma-function
g(t) = ymax * t^(alpha) * exp( alpha * (1-t))
With known ymax and alpha, what is the maximum slope of g(t) (with t>0)?

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Re: gamma-function
It’s so perfect. I do appreciate your kindness.

Re: gamma-function
What value does the maximum slope have?

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Re: gamma-function
What about highest value (that can be possible) such as 0.5, 1, 1.5, 3, 10, ..... something like that

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Re: gamma-function
Not sure what do you want. You just have to plug in all the values you have.

Re: gamma-function
highest value = 1
Last edited by pongtep; 05-27-2013 at 08:18 AM .

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Re: gamma-function
Ok let say you have the difficulty to plug-in the formula and I do it for you:
Now you can further put the (exact) values of to obtain the numerical value which you desperately want.

Re: gamma-function
It is highest result (numerical value) that it can calculate from this formula. I not sure, perhaps it is infinity.
Last edited by pongtep; 05-27-2013 at 08:57 AM .

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Re: gamma-function
Yes, and g' will increase without bound, is it correct?

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The Following User Says Thank You to BGM For This Useful Post:
Re: gamma-function
Thank you so much. If i have further questions would you mind if I asked you again?

Re: gamma-function

Please Example if
ymax = 3
alpha = 2
What is maximum slope?

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