Hello everyone, I'm stuck on this question:

The minimum value of e^x+2e^x occurs where x = ?

Any help appreciated, thx

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- Jul 13th 2013, 09:59 PMJellyOnionFinding the min value
Hello everyone, I'm stuck on this question:

The minimum value of e^x+2e^x occurs where x = ?

Any help appreciated, thx - Jul 13th 2013, 10:18 PMMarkFLRe: Finding the min value
Are you sure you have the expression typed correctly? As given it is , and as such has no extrema.

- Jul 13th 2013, 10:21 PMJellyOnionRe: Finding the min value
Exactly, that's what I thought. My textbook says the answer is -0.5log(e)^2

- Jul 13th 2013, 10:46 PMMarkFLRe: Finding the min value
In that case, if I am interpreting the given critical value correctly, the function should be:

Hence, differentiating and equating to zero, we find:

This implies:

Converting from exponential to logarithmic form, we obtain: