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1) 2) Please answer the following questions about the function f(x) = 5x/x2 - 4.

ID: 2831703 • Letter: 1

Question

1)

2)

Please answer the following questions about the function f(x) = 5x/x2 - 4. Instructions: If you are asked to find a function, enter a function. If you are asked to find x- or y-values, enter either a number separated by commas, or None if there aren't any solutions. Use internal notation if you are asked to find an interval or union of intervals, and enter { } if the interval is empty. Calculate the first derivative of f. Find the critical numbers of f, where it is increasing and decreasing, and its local extrema.

Explanation / Answer

1)

a) f'(x) = (-5x^2 - 4) / (x^2 - 4)%2

Critical = { }

Increasing = { }

Decreasing = (-INF, -2) U (-2, 2) U (2, INF)

Local maxima = { }

Local minima = { }