Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 2 - Describing Change: Rates - 2.5 Activities - Page 172: 9

Answer

a. $g'(t)=8t$ b. $g'(t)=32$

Work Step by Step

a. You find the answer by taking the derivative of $g(t)=4t^2$ to do that you take the exponent (2) multiply it by the number in front (4) and then subtract one from the exponent (2) which gives you 8t. b. You plug (4) into the new derivative to get the answer so $8(4)=32$.
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