#### 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.