Question

What are the points of inflection, if any, of `f(t) = 4t^3 + 3t^2 - 6t +1`?

Answer 1

Inflection point is at `t=-1/4`

Explanation:

`f'(t)= 12t^2 +6t -6`

`f''(t) =24t +6`

A necessary condition for a point of inflection is that `f''(t)=0`.

Accordingly, there would be inflection point at 24t+6=0 , that is `t=-1/4`