$g(1) = 5$
Work Step by Step
By product rule, we know that: $(fg)' = f'g + g'f$ By substituting the values we are given into the equation above we get: $10 = 2g(1) + 0g'(1)$ And then we can simplify to get: $10 = 2g(1)$ $g(1) = 5$
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