Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - 3.1 Maximum and Minimum Values - 3.1 Execises: 3

Answer

f'(0) = 0

Work Step by Step

The extremum indicated is (0,0) and the function is y = x^2 / (x^2 + 4). The value of the derivative at x = 0 will be calculated by taking the derivative of y and substituting 0 for x. By using the quotient rule, the derivative of y is y' = 8x / (x^2 + 4)^2. As a result, when substituting x = 0, y' = 0.
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