`h(t) = sqrt(t)(1 - t^2)` Use the Product Rule to find the derivative of the function.

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Chapter 2, 2.3 - Problem 3 - 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:

`h'(t) = (sqrt t)'(1 - t^2) + (sqrt t)(1 - t^2)'`

`h'(t)= (1 - t^2)/(2 sqrt t) - 2t*sqrt t`

Hence, evaluating the derivative of the function, using the product rule, yields `h'(t)= (1 - t^2)/(2 sqrt t) - 2t*sqrt t.`

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