`g(s) = sqrt(s)(s^2 + 8)` Use the Product Rule to find the derivative of the function.

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Chapter 2, 2.3 - Problem 4 - Calculus of a Single Variable (10th Edition, Ron Larson).
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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to use the product rule to evaluate the derivative of the function, such that:

`g'(s) = (sqrt s)'(s^2 + 8) + (sqrt s)(s^2 + 8)'`

`g'(s) = (s^2 + 8)/(2 sqrt s) + 2s*sqrt s`

Hence, evaluating the derivative of the function, using the product rule, yields `g'(s) = (s^2 + 8)/(2 sqrt s) + 2s*sqrt s.`

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