hi dear all, is this a convex function (concave , GP ,..... with a systematic solution)
f(x)=log2( 1+((x^2)/(2x+1))).
thank you
A function is convex if the second derivative is positive,
Dear Majid, your function has not an only positive or only negative second derivative; its second derivative has one zero at x = 0.707107, so f(x) is not a convex function in (-1/2, +infty).
Gianluca
Check the graph the function, then find the limits where the function is convex or concave
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