`g(t) = t^4 + t^3 + t^2 + 1` Find the critical numbers of the function

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Chapter 4, 4.1 - Problem 33 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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hkj1385 | (Level 1) Assistant Educator

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`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

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