Calculus (3rd Edition)

by Rogawski, Jon; Adams, Colin

Published by W. H. Freeman

ISBN 10: 1464125260

ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.3 Product and Quotient Rules - Preliminary Questions - Page 121: 3

Answer

$g(1) = 5$

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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