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Perform a first derivative test on the function f(x) = 2x3 + 6x2 - 48x + 4; [ -

ID: 2833002 • Letter: P

Question

Perform a first derivative test on the function f(x) = 2x3 + 6x2 - 48x + 4; [ - 4,6]. Locate the critical points of the given function. Use the first derivative test to locate the local maximum and minimum values. Identify the absolute minimum and maximum values of the function on the given interval (when the There are no critical points. Locate the local maximum and minimum values. Select the correct choice below and, if necessary, There are local maximum(s) at x = and local minimum(s) at x = (Use a comma to separate answers as needed.) There are local maximum(s) at x = . There are no local minimums. (Use a comma to separate answers as needed.) There are local minimum(s) at x = . There are no local maximums. (Use a comma to separate answers as needed.) There are no local maximums nor local minimums.

Explanation / Answer

Minima at x=-2

maxima at x=-4

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