Question

Is `f(x)=1-e^(3x)` concave or convex at `x=2`?

Answer 1

Find the second derivative at `x=2`

Explanation:

If the second derivative is positive , it's concave up . Likewise, if it is negative , it will be concave down .

`f'=-3e^(3x)`

`f''=-9e^(3x)`

`f''(2) <0`, so it is concave down or convex