- #1

- 260

- 21

- Homework Statement
- Determine if f(x) is convex or not.

- Relevant Equations
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f(x)=ln(|x

_{1}|+1)+(-2x_{1}^{2}+3x_{2}^{2}+ 2x_{3}^{3}) + sin(x_{1}+ x_{2}+ x_{3}), for this problem in particular would be it be sufficient to find the Hessian and to see if that matrix is semi positive definite to determine if it convex?