`g(t) = t^4 + t^3 + t^2 + 1`

`or, g'(t) = 4t^3 + 3t^2 + 2t`

`or, g'(t) = t(4t^2 + 3t + 2)`

` g'(t) = 0`

`(4t^2 + 3t + 2)t = 0`

**Hence the critical number is t = 0**

``

`g(t) = t^4 + t^3 + t^2 + 1`

`or, g'(t) = 4t^3 + 3t^2 + 2t`

`or, g'(t) = t(4t^2 + 3t + 2)`

` g'(t) = 0`

`(4t^2 + 3t + 2)t = 0`

**Hence the critical number is t = 0**

``