Question

Is `f(x)=e^(3-3x)+x/ln2x` concave or convex at `x=1`?

Answer 1

`f(x)` is concave for `AA x>2.11` and convex for `AA 0<x<2.11`

Explanation:

The zero of the second derivation
`f''(x)=9*e^(3-3x)-2/(ln(2)` is at `x=2.11`
That's where the function changes it's bending behaviour.