1. The problem statement, all variables and given/known data I have to determine if [e][/x] is a convex function. If it is then show proof. I know its a convex function by looking at the graph, Iam stuck at prooving it mathematically though. 2. Relevant equations The function is f(x)=e^x. 3. The attempt at a solution I am certain that the function is convex. I'am having trouble proving it though. Assuming we pick a point and call it x0, then a lies to the left of x0 and point b lies to the right. f(ta+(1-t)b)<=t*f(a)+(1-t)*f(b) Once we substitute we get. e^((ta+(1-t)b))<=t*e^a+(1-t)*e^b I'am stuck at proving how this inequality is true. Thanks!