Posted by Bud on Sunday, July 24, 2011 at 10:57pm.
For the function g(x) = xe power x, there is inflection point at?

Calculus  Reiny, Sunday, July 24, 2011 at 11:04pm
g(x) = xe^x
g'(x) = xe^x + e^x
g''(x) = xe^x + e^x + e^x
= e^x( x+2)
at point of inflection g''(x) = 0
so e^x = 0 > no solution
or x+2 = 0
x = 2
then g(2) = 2e^2 or 2/e^2
point of inflection (2, 2/e^2)

Calculus  Star, Tuesday, December 16, 2014 at 10:14pm
The average value of f(x) = e ^ 4xsquared on the interval [1/4,1/4]
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