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Let y = uv be the product of the functio...

Let y = uv be the product of the functions `u and v`. Find `y'(2)` if `u(2) = 3, u'(2) = – 4, v(2) = 1, and v'(2) = 2.`

Text Solution

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From the Product Rule, in the form `y' = (uv)' = uv' + vu'`, we have `y'(2) = u(2) v'(2) + v(2) u'(2)`
`= (3) (2) + (1) (–4) = 6 – 4 = 2`
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