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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

Verified by Experts

The correct Answer is:
2
From the Product Rule,
`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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