`f(x) = 4 + (1/3)x - (1/2)x^2` Find the critical numbers of the function

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Chapter 4, 4.1 - Problem 29 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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hkj1385 | (Level 1) Assistant Educator

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`f(x) = 4 +(1/3)x - (1/2)x^2`

`or, f(x) = 24 + 2x - 3x^2`

`or, f'(x) = 2 - 6x`

Thus, for critical numbers f'(x) = 0

or, 2-6x = 0

or, x = 1/3 is the critical number

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