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Differential Equations Ordinary and Partial Differential Equations Math Forum


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November 10th, 2016, 06:32 AM   #1
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Please help

I have spent the last few days try to work out how to do this question and I am not getting anywhere.
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November 10th, 2016, 07:01 AM   #2
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differentiate $I(v,T)$ with respect to v

set the derivative equal to 0 and solve for v treating T as a constant

you should end up with the equation they ask for

the problem states you don't have to bother with the second derivative check to ensure the critical point found above is in fact a maxima so you don't need to do that.
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November 11th, 2016, 12:34 AM   #3
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Would I use the quotient rule in order to differentiate it?
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November 11th, 2016, 07:50 AM   #4
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Yes, that should work.
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