- #1

ver_mathstats

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- Homework Statement
- Determine if the problem is a convex optimization problem

- Relevant Equations
- x_1(sin(x_1)) such that exp(x_1)-1>=0

I know to solve this problem we need to see if x

_{1}sinx_{1}is convex and if the constraint is convex. I already know that x_{1}sinx_{1}is not convex so the problem is not convex, but for proving that this function is not convex is where I am confused. But how do I go about showing this? I'm assuming I cannot use a hessian or the definition because both use two variables? So do I just find the second derivative and see if it is positive? Is that sufficient enough?